461553133 has 16 divisors (see below), whose sum is σ = 483399216. Its totient is φ = 440294400.

The previous prime is 461553109. The next prime is 461553139. The reversal of 461553133 is 331355164.

It can be written as a sum of positive squares in 8 ways, for example, as 116596804 + 344956329 = 10798^2 + 18573^2 .

It is a cyclic number.

It is not a de Polignac number, because 461553133 - 2¹⁷ = 461422061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 461553095 and 461553104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461553139) 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, 421735 + ... + 422827.

It is an arithmetic number, because the mean of its divisors is an integer number (30212451).

Almost surely, 2^461553133 is an apocalyptic number.

It is an amenable number.

461553133 is a deficient number, since it is larger than the sum of its proper divisors (21846083).

461553133 is a wasteful number, since it uses less digits than its factorization.

461553133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344.

The product of its digits is 16200, while the sum is 31.

The square root of 461553133 is about 21483.7876781540. The cubic root of 461553133 is about 772.8120783606.

The spelling of 461553133 in words is "four hundred sixty-one million, five hundred fifty-three thousand, one hundred thirty-three".