253416401131 has 8 divisors (see below), whose sum is σ = 265589246880. Its totient is φ = 241339783872.

The previous prime is 253416401129. The next prime is 253416401191. The reversal of 253416401131 is 131104614352.

253416401131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 253416401131 - 2¹ = 253416401129 is a prime.

It is a super-2 number, since 2×253416401131² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253416401093 and 253416401102.

It is not an unprimeable number, because it can be changed into a prime (253416401191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24051730 + ... + 24062263.

It is an arithmetic number, because the mean of its divisors is an integer number (33198655860).

Almost surely, 2^253416401131 is an apocalyptic number.

253416401131 is a deficient number, since it is larger than the sum of its proper divisors (12172845749).

253416401131 is a wasteful number, since it uses less digits than its factorization.

253416401131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48114245.

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 253416401131 in words is "two hundred fifty-three billion, four hundred sixteen million, four hundred one thousand, one hundred thirty-one".