An equidigital number is a number that has the same number of digits as the number of digits in its prime factorization (including exponents). For example, in base-10 arithmetic 1, 2, 3, 5, 7, and 10 (2×5) are equidigital numbers. All prime numbers are equidigital numbers in any base.
A number that is either equidigital or frugal is said to be economical.
* R.G.E. Pinch (1998), Economical Numbers