253416506431 has 8 divisors (see below), whose sum is σ = 277354877184. Its totient is φ = 229628220120.

The previous prime is 253416506407. The next prime is 253416506477. The reversal of 253416506431 is 134605614352.

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 253416506431 - 2⁷ = 253416506303 is a prime.

It is a super-2 number, since 2×253416506431² (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 (253416536431) 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 7 ways as a sum of consecutive naturals, for example, 37517575 + ... + 37524328.

It is an arithmetic number, because the mean of its divisors is an integer number (34669359648).

Almost surely, 2^253416506431 is an apocalyptic number.

253416506431 is a deficient number, since it is larger than the sum of its proper divisors (23938370753).

253416506431 is a wasteful number, since it uses less digits than its factorization.

253416506431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75042221.

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 253416506431 in words is "two hundred fifty-three billion, four hundred sixteen million, five hundred six thousand, four hundred thirty-one".