456613131 has 16 divisors (see below), whose sum is σ = 669602304. Its totient is φ = 275013024.

The previous prime is 456613117. The next prime is 456613139. The reversal of 456613131 is 131316654.

It is not a de Polignac number, because 456613131 - 2⁶ = 456613067 is a prime.

It is a super-2 number, since 2×456613131² = 416991102803246322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456613139) 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 15 ways as a sum of consecutive naturals, for example, 122721 + ... + 126386.

It is an arithmetic number, because the mean of its divisors is an integer number (41850144).

Almost surely, 2^456613131 is an apocalyptic number.

456613131 is a deficient number, since it is larger than the sum of its proper divisors (212989173).

456613131 is a wasteful number, since it uses less digits than its factorization.

456613131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249170.

The product of its digits is 6480, while the sum is 30.

The square root of 456613131 is about 21368.5079263855. The cubic root of 456613131 is about 770.0450476822.

Adding to 456613131 its reverse (131316654), we get a palindrome (587929785).

The spelling of 456613131 in words is "four hundred fifty-six million, six hundred thirteen thousand, one hundred thirty-one".