313725659520 has 1536 divisors, whose sum is σ = 1350261964800. Its totient is φ = 61188341760.

The previous prime is 313725659483. The next prime is 313725659557. The reversal of 313725659520 is 25956527313.

It is an interprime number because it is at equal distance from previous prime (313725659483) and next prime (313725659557).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 313725659520.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1642542625 + ... + 1642542815.

It is an arithmetic number, because the mean of its divisors is an integer number (879076800).

Almost surely, 2^313725659520 is an apocalyptic number.

313725659520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313725659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675130982400).

313725659520 is an abundant number, since it is smaller than the sum of its proper divisors (1036536305280).

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

313725659520 is a wasteful number, since it uses less digits than its factorization.

313725659520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1701000, while the sum is 48.

The spelling of 313725659520 in words is "three hundred thirteen billion, seven hundred twenty-five million, six hundred fifty-nine thousand, five hundred twenty".