313506521088 has 224 divisors, whose sum is σ = 887696996256. Its totient is φ = 98071216128.

The previous prime is 313506521077. The next prime is 313506521093. The reversal of 313506521088 is 880125605313.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180903070 + ... + 180904802.

It is an arithmetic number, because the mean of its divisors is an integer number (3962933019).

Almost surely, 2^313506521088 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 313506521088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443848498128).

313506521088 is an abundant number, since it is smaller than the sum of its proper divisors (574190475168).

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

313506521088 is a wasteful number, since it uses less digits than its factorization.

313506521088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2212 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 313506521088 in words is "three hundred thirteen billion, five hundred six million, five hundred twenty-one thousand, eighty-eight".