513606753 has 24 divisors (see below), whose sum is σ = 811264896. Its totient is φ = 310528800.

The previous prime is 513606701. The next prime is 513606823. The reversal of 513606753 is 357606315.

It is a happy number.

It is not a de Polignac number, because 513606753 - 2⁸ = 513606497 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513602753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36651 + ... + 48687.

It is an arithmetic number, because the mean of its divisors is an integer number (33802704).

Almost surely, 2^513606753 is an apocalyptic number.

It is an amenable number.

513606753 is a deficient number, since it is larger than the sum of its proper divisors (297658143).

513606753 is a wasteful number, since it uses less digits than its factorization.

513606753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12485 (or 12482 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 513606753 is about 22662.8937472689. The cubic root of 513606753 is about 800.8359766454.

The spelling of 513606753 in words is "five hundred thirteen million, six hundred six thousand, seven hundred fifty-three".