251615516152 has 96 divisors (see below), whose sum is σ = 636918353280. Its totient is φ = 90491057280.

The previous prime is 251615516129. The next prime is 251615516153.

251615516152 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251615516153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1104378 + ... + 1312585.

It is an arithmetic number, because the mean of its divisors is an integer number (6634566180).

Almost surely, 2^251615516152 is an apocalyptic number.

251615516152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

251615516152 is an abundant number, since it is smaller than the sum of its proper divisors (385302837128).

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

251615516152 is a wasteful number, since it uses less digits than its factorization.

251615516152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417013 (or 2416996 counting only the distinct ones).

The product of its digits is 90000, while the sum is 40.

It can be divided in two parts, 251615 and 516152, that added together give a palindrome (767767).

The spelling of 251615516152 in words is "two hundred fifty-one billion, six hundred fifteen million, five hundred sixteen thousand, one hundred fifty-two".