513089937 has 32 divisors (see below), whose sum is σ = 806371200. Its totient is φ = 321329664.

The previous prime is 513089909. The next prime is 513090001. The reversal of 513089937 is 739980315.

It is a happy number.

It is not a de Polignac number, because 513089937 - 2⁷ = 513089809 is a prime.

It is a super-2 number, since 2×513089937² = 526522566901327938, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 513089892 and 513089901.

It is not an unprimeable number, because it can be changed into a prime (513089537) 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, 467173 + ... + 468269.

It is an arithmetic number, because the mean of its divisors is an integer number (25199100).

Almost surely, 2^513089937 is an apocalyptic number.

It is an amenable number.

513089937 is a deficient number, since it is larger than the sum of its proper divisors (293281263).

513089937 is a wasteful number, since it uses less digits than its factorization.

513089937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 513089937 is about 22651.4886265782. The cubic root of 513089937 is about 800.5672731772.

The spelling of 513089937 in words is "five hundred thirteen million, eighty-nine thousand, nine hundred thirty-seven".