253114460431 has 16 divisors (see below), whose sum is σ = 297111597120. Its totient is φ = 211077584640.

The previous prime is 253114460413. The next prime is 253114460437. The reversal of 253114460431 is 134064411352.

It is a cyclic number.

It is not a de Polignac number, because 253114460431 - 2¹⁷ = 253114329359 is a prime.

It is a super-2 number, since 2×253114460431² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253114460437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6140811 + ... + 6181891.

It is an arithmetic number, because the mean of its divisors is an integer number (18569474820).

Almost surely, 2^253114460431 is an apocalyptic number.

253114460431 is a deficient number, since it is larger than the sum of its proper divisors (43997136689).

253114460431 is a wasteful number, since it uses less digits than its factorization.

253114460431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64914.

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 253114460431 its reverse (134064411352), we get a palindrome (387178871783).

The spelling of 253114460431 in words is "two hundred fifty-three billion, one hundred fourteen million, four hundred sixty thousand, four hundred thirty-one".