205210012502 has 64 divisors (see below), whose sum is σ = 360367818048. Its totient is φ = 86607360000.

The previous prime is 205210012493. The next prime is 205210012517.

It is a happy number.

205210012502 is nontrivially palindromic in base 10.

205210012502 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×205210012502² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10604828 + ... + 10624160.

It is an arithmetic number, because the mean of its divisors is an integer number (5630747157).

Almost surely, 2^205210012502 is an apocalyptic number.

205210012502 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

205210012502 is a deficient number, since it is larger than the sum of its proper divisors (155157805546).

205210012502 is a wasteful number, since it uses less digits than its factorization.

205210012502 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19745.

The product of its (nonzero) digits is 400, while the sum is 20.

It can be divided in two parts, 2052100 and 12502, that added together give a palindrome (2064602).

The spelling of 205210012502 in words is "two hundred five billion, two hundred ten million, twelve thousand, five hundred two".