312303431253552 has 80 divisors (see below), whose sum is σ = 807078999471360. Its totient is φ = 104063065286400.

The previous prime is 312303431253533. The next prime is 312303431253571. The reversal of 312303431253552 is 255352134303213.

It is an interprime number because it is at equal distance from previous prime (312303431253533) and next prime (312303431253571).

It is a super-2 number, since 2×312303431253552² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3807562302 + ... + 3807644322.

It is an arithmetic number, because the mean of its divisors is an integer number (10088487493392).

Almost surely, 2^{312303431253552} is an apocalyptic number.

It is an amenable number.

312303431253552 is an abundant number, since it is smaller than the sum of its proper divisors (494775568217808).

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

312303431253552 is a wasteful number, since it uses less digits than its factorization.

312303431253552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110082 (or 110076 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 42.

Adding to 312303431253552 its reverse (255352134303213), we get a palindrome (567655565556765).

The spelling of 312303431253552 in words is "three hundred twelve trillion, three hundred three billion, four hundred thirty-one million, two hundred fifty-three thousand, five hundred fifty-two".