461566133 has 24 divisors (see below), whose sum is σ = 573115392. Its totient is φ = 369339264.

The previous prime is 461566103. The next prime is 461566153. The reversal of 461566133 is 331665164.

It is not a de Polignac number, because 461566133 - 2⁸ = 461565877 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 461566093 and 461566102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461566103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103610 + ... + 107972.

It is an arithmetic number, because the mean of its divisors is an integer number (23879808).

Almost surely, 2^461566133 is an apocalyptic number.

It is an amenable number.

461566133 is a deficient number, since it is larger than the sum of its proper divisors (111549259).

461566133 is a wasteful number, since it uses less digits than its factorization.

461566133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4514 counting only the distinct ones).

The product of its digits is 38880, while the sum is 35.

The square root of 461566133 is about 21484.0902297491. The cubic root of 461566133 is about 772.8193339086.

The spelling of 461566133 in words is "four hundred sixty-one million, five hundred sixty-six thousand, one hundred thirty-three".