461327582521 has 15 divisors (see below), whose sum is σ = 499894584521. Its totient is φ = 425734888488.

The previous prime is 461327582519. The next prime is 461327582549. The reversal of 461327582521 is 125285723164.

The square root of 461327582521 is 679211.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 228733584121 + 232593998400 = 478261^2 + 482280^2 .

It is not a de Polignac number, because 461327582521 - 2¹ = 461327582519 is a prime.

It is a Duffinian number.

Its product of digits (806400) is a multiple of the sum of its prime divisors (4032).

It is not an unprimeable number, because it can be changed into a prime (461327582581) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 114784650 + ... + 114788668.

Almost surely, 2^461327582521 is an apocalyptic number.

461327582521 is the 679211-st square number.

461327582521 is the 339606-th centered octagonal number.

It is an amenable number.

461327582521 is a deficient number, since it is larger than the sum of its proper divisors (38567002000).

461327582521 is an frugal number, since it uses more digits than its factorization.

461327582521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 4032 counting only the distinct ones).

The product of its digits is 806400, while the sum is 46.

The spelling of 461327582521 in words is "four hundred sixty-one billion, three hundred twenty-seven million, five hundred eighty-two thousand, five hundred twenty-one".