252920562048 has 1536 divisors, whose sum is σ = 1026796953600. Its totient is φ = 59396198400.

The previous prime is 252920562043. The next prime is 252920562049. The reversal of 252920562048 is 840265029252.

It is a happy number.

252920562048 is a `hidden beast` number, since 2 + 5 + 29 + 20 + 562 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 252920561994 and 252920562012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252920562043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5881873515 + ... + 5881873557.

It is an arithmetic number, because the mean of its divisors is an integer number (668487600).

Almost surely, 2^252920562048 is an apocalyptic number.

252920562048 is a gapful number since it is divisible by the number (28) 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 252920562048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513398476800).

252920562048 is an abundant number, since it is smaller than the sum of its proper divisors (773876391552).

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

252920562048 is a wasteful number, since it uses less digits than its factorization.

252920562048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 252920562048 in words is "two hundred fifty-two billion, nine hundred twenty million, five hundred sixty-two thousand, forty-eight".