152313313251 has 32 divisors (see below), whose sum is σ = 223581980160. Its totient is φ = 91463590400.

The previous prime is 152313313213. The next prime is 152313313259.

152313313251 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 152313313251 - 2⁷ = 152313313123 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152313313259) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16481290 + ... + 16490528.

It is an arithmetic number, because the mean of its divisors is an integer number (6986936880).

Almost surely, 2^152313313251 is an apocalyptic number.

152313313251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152313313251 is a deficient number, since it is larger than the sum of its proper divisors (71268666909).

152313313251 is a wasteful number, since it uses less digits than its factorization.

152313313251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13787.

The product of its digits is 8100, while the sum is 30.

It can be divided in two parts, 152313 and 313251, that added together give a palindrome (465564).

The spelling of 152313313251 in words is "one hundred fifty-two billion, three hundred thirteen million, three hundred thirteen thousand, two hundred fifty-one".