456661520513 has 12 divisors (see below), whose sum is σ = 501998913360. Its totient is φ = 415106602680.

The previous prime is 456661520467. The next prime is 456661520531. The reversal of 456661520513 is 315025166654.

It is not a de Polignac number, because 456661520513 - 2³⁶ = 387942043777 is a prime.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456661520533) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1108298 + ... + 1463436.

It is an arithmetic number, because the mean of its divisors is an integer number (41833242780).

Almost surely, 2^456661520513 is an apocalyptic number.

It is an amenable number.

456661520513 is a deficient number, since it is larger than the sum of its proper divisors (45337392847).

456661520513 is a wasteful number, since it uses less digits than its factorization.

456661520513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365788 (or 365777 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 456661520513 in words is "four hundred fifty-six billion, six hundred sixty-one million, five hundred twenty thousand, five hundred thirteen".