461185131 has 16 divisors (see below), whose sum is σ = 688946688. Its totient is φ = 271951200.

The previous prime is 461185117. The next prime is 461185139. The reversal of 461185131 is 131581164.

It is not a de Polignac number, because 461185131 - 2⁵ = 461185099 is a prime.

It is a super-2 number, since 2×461185131² = 425383450110974322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (461185139) 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, 187635 + ... + 190076.

It is an arithmetic number, because the mean of its divisors is an integer number (43059168).

Almost surely, 2^461185131 is an apocalyptic number.

461185131 is a deficient number, since it is larger than the sum of its proper divisors (227761557).

461185131 is a wasteful number, since it uses less digits than its factorization.

461185131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377762.

The product of its digits is 2880, while the sum is 30.

The square root of 461185131 is about 21475.2213259840. The cubic root of 461185131 is about 772.6066328854.

The spelling of 461185131 in words is "four hundred sixty-one million, one hundred eighty-five thousand, one hundred thirty-one".