253015122400 has 36 divisors (see below), whose sum is σ = 617673169512. Its totient is φ = 101206048640.

The previous prime is 253015122361. The next prime is 253015122403. The reversal of 253015122400 is 4221510352.

253015122400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253015122403) 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 5 ways as a sum of consecutive naturals, for example, 158133652 + ... + 158135251.

It is an arithmetic number, because the mean of its divisors is an integer number (17157588042).

Almost surely, 2^253015122400 is an apocalyptic number.

253015122400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253015122400 is an abundant number, since it is smaller than the sum of its proper divisors (364658047112).

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

253015122400 is a wasteful number, since it uses less digits than its factorization.

253015122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316268923 (or 316268910 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 253015122400 its reverse (4221510352), we get a palindrome (257236632752).

The spelling of 253015122400 in words is "two hundred fifty-three billion, fifteen million, one hundred twenty-two thousand, four hundred".