461157125331 has 128 divisors (see below), whose sum is σ = 824249548800. Its totient is φ = 223118945280.

The previous prime is 461157125281. The next prime is 461157125333. The reversal of 461157125331 is 133521751164.

It is not a de Polignac number, because 461157125331 - 2⁷ = 461157125203 is a prime.

It is a super-2 number, since 2×461157125331² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 461157125331.

It is not an unprimeable number, because it can be changed into a prime (461157125333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8222175 + ... + 8278071.

It is an arithmetic number, because the mean of its divisors is an integer number (6439449600).

Almost surely, 2^461157125331 is an apocalyptic number.

461157125331 is a deficient number, since it is larger than the sum of its proper divisors (363092423469).

461157125331 is a wasteful number, since it uses less digits than its factorization.

461157125331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56009.

The product of its digits is 75600, while the sum is 39.

Adding to 461157125331 its reverse (133521751164), we get a palindrome (594678876495).

The spelling of 461157125331 in words is "four hundred sixty-one billion, one hundred fifty-seven million, one hundred twenty-five thousand, three hundred thirty-one".