253516042224 has 60 divisors (see below), whose sum is σ = 716517535032. Its totient is φ = 83668656000.

The previous prime is 253516042207. The next prime is 253516042261. The reversal of 253516042224 is 422240615352.

253516042224 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 1 + 604 + 22 + 24 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8700942 + ... + 8730029.

Almost surely, 2^253516042224 is an apocalyptic number.

253516042224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253516042224 is an abundant number, since it is smaller than the sum of its proper divisors (463001492808).

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

253516042224 is a wasteful number, since it uses less digits than its factorization.

253516042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17431086 (or 17431077 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 253516042224 its reverse (422240615352), we get a palindrome (675756657576).

The spelling of 253516042224 in words is "two hundred fifty-three billion, five hundred sixteen million, forty-two thousand, two hundred twenty-four".