253051145424 has 480 divisors, whose sum is σ = 897982525440. Its totient is φ = 64615449600.

The previous prime is 253051145419. The next prime is 253051145447. The reversal of 253051145424 is 424541150352.

253051145424 is a `hidden beast` number, since 2 + 53 + 0 + 51 + 14 + 542 + 4 = 666.

It is a super-2 number, since 2×253051145424² (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 a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 268916794 + ... + 268917734.

It is an arithmetic number, because the mean of its divisors is an integer number (1870796928).

Almost surely, 2^253051145424 is an apocalyptic number.

253051145424 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 253051145424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448991262720).

253051145424 is an abundant number, since it is smaller than the sum of its proper divisors (644931380016).

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

253051145424 is a wasteful number, since it uses less digits than its factorization.

253051145424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1350 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 253051145424 its reverse (424541150352), we get a palindrome (677592295776).

The spelling of 253051145424 in words is "two hundred fifty-three billion, fifty-one million, one hundred forty-five thousand, four hundred twenty-four".