456200506531 has 24 divisors (see below), whose sum is σ = 589849230384. Its totient is φ = 348773705280.

The previous prime is 456200506523. The next prime is 456200506549. The reversal of 456200506531 is 135605002654.

It is not a de Polignac number, because 456200506531 - 2³ = 456200506523 is a prime.

It is a super-2 number, since 2×456200506531² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456200506561) 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, 7956180 + ... + 8013313.

It is an arithmetic number, because the mean of its divisors is an integer number (24577051266).

Almost surely, 2^456200506531 is an apocalyptic number.

456200506531 is a deficient number, since it is larger than the sum of its proper divisors (133648723853).

456200506531 is a wasteful number, since it uses less digits than its factorization.

456200506531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15969571 (or 15969564 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 456200506531 in words is "four hundred fifty-six billion, two hundred million, five hundred six thousand, five hundred thirty-one".