253203120399 has 32 divisors (see below), whose sum is σ = 356548608000. Its totient is φ = 159389255520.

The previous prime is 253203120377. The next prime is 253203120439. The reversal of 253203120399 is 993021302352.

It is not a de Polignac number, because 253203120399 - 2⁵ = 253203120367 is a prime.

It is a super-2 number, since 2×253203120399² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253203120329) 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 31 ways as a sum of consecutive naturals, for example, 40842702 + ... + 40848900.

It is an arithmetic number, because the mean of its divisors is an integer number (11142144000).

Almost surely, 2^253203120399 is an apocalyptic number.

253203120399 is a deficient number, since it is larger than the sum of its proper divisors (103345487601).

253203120399 is a wasteful number, since it uses less digits than its factorization.

253203120399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8475.

The product of its (nonzero) digits is 87480, while the sum is 39.

The spelling of 253203120399 in words is "two hundred fifty-three billion, two hundred three million, one hundred twenty thousand, three hundred ninety-nine".