315021131532 has 240 divisors, whose sum is σ = 897233930208. Its totient is φ = 95976990720.

The previous prime is 315021131521. The next prime is 315021131587. The reversal of 315021131532 is 235131120513.

315021131532 is a `hidden beast` number, since 3 + 1 + 502 + 1 + 1 + 3 + 153 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 315021131496 and 315021131505.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 140821918 + ... + 140824154.

Almost surely, 2^315021131532 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 315021131532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448616965104).

315021131532 is an abundant number, since it is smaller than the sum of its proper divisors (582212798676).

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

315021131532 is a wasteful number, since it uses less digits than its factorization.

315021131532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 315021131532 in words is "three hundred fifteen billion, twenty-one million, one hundred thirty-one thousand, five hundred thirty-two".