201625002624 has 64 divisors (see below), whose sum is σ = 567070338240. Its totient is φ = 63254900736.

The previous prime is 201625002589. The next prime is 201625002637. The reversal of 201625002624 is 426200526102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 201625002591 and 201625002600.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15436564 + ... + 15449619.

It is an arithmetic number, because the mean of its divisors is an integer number (8860474035).

Almost surely, 2^201625002624 is an apocalyptic number.

201625002624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201625002624 is an abundant number, since it is smaller than the sum of its proper divisors (365445335616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201625002624 is a wasteful number, since it uses less digits than its factorization.

201625002624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30886217 (or 30886205 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 201625002624 its reverse (426200526102), we get a palindrome (627825528726).

The spelling of 201625002624 in words is "two hundred one billion, six hundred twenty-five million, two thousand, six hundred twenty-four".