253131012004 has 48 divisors (see below), whose sum is σ = 479342466288. Its totient is φ = 116270235648.

The previous prime is 253131011951. The next prime is 253131012031. The reversal of 253131012004 is 400210131352.

It is a happy number.

253131012004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 63932111104 + 189198900900 = 252848^2 + 434970^2 .

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 15 ways as a sum of consecutive naturals, for example, 15935314 + ... + 15951190.

It is an arithmetic number, because the mean of its divisors is an integer number (9986301381).

Almost surely, 2^253131012004 is an apocalyptic number.

It is an amenable number.

253131012004 is a deficient number, since it is larger than the sum of its proper divisors (226211454284).

253131012004 is a wasteful number, since it uses less digits than its factorization.

253131012004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17344 (or 17342 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 253131012004 its reverse (400210131352), we get a palindrome (653341143356).

The spelling of 253131012004 in words is "two hundred fifty-three billion, one hundred thirty-one million, twelve thousand, four".