315113822500 has 135 divisors (see below), whose sum is σ = 702288540261. Its totient is φ = 123676632000.

The previous prime is 315113822473. The next prime is 315113822501. The reversal of 315113822500 is 5228311513.

The square root of 315113822500 is 561350.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 183065891044 + 132047931456 = 427862^2 + 363384^2 .

It is a super-2 number, since 2×315113822500² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (315113822501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2890952446 + ... + 2890952554.

Almost surely, 2^315113822500 is an apocalyptic number.

315113822500 is the 561350-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315113822500

315113822500 is an abundant number, since it is smaller than the sum of its proper divisors (387174717761).

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

315113822500 is an equidigital number, since it uses as much as digits as its factorization.

315113822500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 315113822500 in words is "three hundred fifteen billion, one hundred thirteen million, eight hundred twenty-two thousand, five hundred".