513040737 has 32 divisors (see below), whose sum is σ = 782078976. Its totient is φ = 296120000.

The previous prime is 513040729. The next prime is 513040747. The reversal of 513040737 is 737040315.

It is not a de Polignac number, because 513040737 - 2³ = 513040729 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513040727) 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 31 ways as a sum of consecutive naturals, for example, 189163 + ... + 191855.

It is an arithmetic number, because the mean of its divisors is an integer number (24439968).

Almost surely, 2^513040737 is an apocalyptic number.

It is an amenable number.

513040737 is a deficient number, since it is larger than the sum of its proper divisors (269038239).

513040737 is a wasteful number, since it uses less digits than its factorization.

513040737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 513040737 is about 22650.4025792038. The cubic root of 513040737 is about 800.5416836616.

The spelling of 513040737 in words is "five hundred thirteen million, forty thousand, seven hundred thirty-seven".