461212521 has 64 divisors (see below), whose sum is σ = 791949312. Its totient is φ = 231840000.

The previous prime is 461212501. The next prime is 461212529. The reversal of 461212521 is 125212164.

It is not a de Polignac number, because 461212521 - 2¹⁰ = 461211497 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 461212491 and 461212500.

It is not an unprimeable number, because it can be changed into a prime (461212529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1000231 + ... + 1000691.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 2^461212521 is an apocalyptic number.

It is an amenable number.

461212521 is a deficient number, since it is larger than the sum of its proper divisors (330736791).

461212521 is a wasteful number, since it uses less digits than its factorization.

461212521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614.

The product of its digits is 960, while the sum is 24.

The square root of 461212521 is about 21475.8590282205. The cubic root of 461212521 is about 772.6219277387.

Adding to 461212521 its reverse (125212164), we get a palindrome (586424685).

It can be divided in two parts, 461 and 212521, that multiplied together give a cube (97972181 = 461³).

The spelling of 461212521 in words is "four hundred sixty-one million, two hundred twelve thousand, five hundred twenty-one".