252583036992 has 448 divisors, whose sum is σ = 877855211520. Its totient is φ = 70207948800.

The previous prime is 252583036991. The next prime is 252583037023. The reversal of 252583036992 is 299630385252.

252583036992 is a `hidden beast` number, since 2 + 52 + 583 + 0 + 3 + 6 + 9 + 9 + 2 = 666.

It is a super-2 number, since 2×252583036992² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (252583036991) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40274817 + ... + 40281087.

It is an arithmetic number, because the mean of its divisors is an integer number (1959498240).

Almost surely, 2^252583036992 is an apocalyptic number.

252583036992 is a gapful number since it is divisible by the number (22) 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 252583036992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438927605760).

252583036992 is an abundant number, since it is smaller than the sum of its proper divisors (625272174528).

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

252583036992 is a wasteful number, since it uses less digits than its factorization.

252583036992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6479 (or 6463 counting only the distinct ones).

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

The spelling of 252583036992 in words is "two hundred fifty-two billion, five hundred eighty-three million, thirty-six thousand, nine hundred ninety-two".