253004442624 has 704 divisors, whose sum is σ = 856713715200. Its totient is φ = 73256140800.

The previous prime is 253004442601. The next prime is 253004442661. The reversal of 253004442624 is 426244400352.

253004442624 is a `hidden beast` number, since 25 + 3 + 0 + 0 + 4 + 4 + 4 + 2 + 624 = 666.

It is a super-2 number, since 2×253004442624² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 366142119 + ... + 366142809.

Almost surely, 2^253004442624 is an apocalyptic number.

253004442624 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 253004442624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428356857600).

253004442624 is an abundant number, since it is smaller than the sum of its proper divisors (603709272576).

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

253004442624 is a wasteful number, since it uses less digits than its factorization.

253004442624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 253004442624 its reverse (426244400352), we get a palindrome (679248842976).

The spelling of 253004442624 in words is "two hundred fifty-three billion, four million, four hundred forty-two thousand, six hundred twenty-four".