312526496952 has 192 divisors, whose sum is σ = 862783328160. Its totient is φ = 102187008000.

The previous prime is 312526496917. The next prime is 312526496957. The reversal of 312526496952 is 259694625213.

312526496952 is a `hidden beast` number, since 3 + 1 + 2 + 526 + 4 + 9 + 69 + 52 = 666.

It is a super-2 number, since 2×312526496952² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312526496957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 541640088 + ... + 541640664.

Almost surely, 2^312526496952 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 312526496952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431391664080).

312526496952 is an abundant number, since it is smaller than the sum of its proper divisors (550256831208).

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

312526496952 is a wasteful number, since it uses less digits than its factorization.

312526496952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1254 (or 1247 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The spelling of 312526496952 in words is "three hundred twelve billion, five hundred twenty-six million, four hundred ninety-six thousand, nine hundred fifty-two".