252441252504 has 192 divisors, whose sum is σ = 824807880000. Its totient is φ = 69638768640.

The previous prime is 252441252487. The next prime is 252441252521. The reversal of 252441252504 is 405252144252.

252441252504 is a `hidden beast` number, since 2 + 5 + 24 + 4 + 125 + 2 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (252441252487) and next prime (252441252521).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539944 + ... + 892424.

It is an arithmetic number, because the mean of its divisors is an integer number (4295874375).

Almost surely, 2^252441252504 is an apocalyptic number.

252441252504 is a gapful number since it is divisible by the number (24) 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 252441252504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412403940000).

252441252504 is an abundant number, since it is smaller than the sum of its proper divisors (572366627496).

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

252441252504 is a wasteful number, since it uses less digits than its factorization.

252441252504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352543 (or 352522 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

Adding to 252441252504 its reverse (405252144252), we get a palindrome (657693396756).

The spelling of 252441252504 in words is "two hundred fifty-two billion, four hundred forty-one million, two hundred fifty-two thousand, five hundred four".