313253257625220 has 96 divisors (see below), whose sum is σ = 968958293022720. Its totient is φ = 74978915506560.

The previous prime is 313253257625207. The next prime is 313253257625221. The reversal of 313253257625220 is 22526752352313.

It is a happy number.

It is a super-3 number, since 3×313253257625220³ (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 313253257625220.

It is not an unprimeable number, because it can be changed into a prime (313253257625221) 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, 3003910822 + ... + 3004015101.

It is an arithmetic number, because the mean of its divisors is an integer number (10093315552320).

Almost surely, 2^{313253257625220} is an apocalyptic number.

313253257625220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313253257625220 is an abundant number, since it is smaller than the sum of its proper divisors (655705035397500).

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

313253257625220 is a wasteful number, since it uses less digits than its factorization.

313253257625220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6007926025 (or 6007926023 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 48.

The spelling of 313253257625220 in words is "three hundred thirteen trillion, two hundred fifty-three billion, two hundred fifty-seven million, six hundred twenty-five thousand, two hundred twenty".