513297937 has 2 divisors, whose sum is σ = 513297938. Its totient is φ = 513297936.

The previous prime is 513297931. The next prime is 513297989. The reversal of 513297937 is 739792315.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 510353281 + 2944656 = 22591^2 + 1716^2 .

It is a cyclic number.

It is not a de Polignac number, because 513297937 - 2¹⁹ = 512773649 is a prime.

It is not a weakly prime, because it can be changed into another prime (513297931) 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 as a sum of consecutive naturals, namely, 256648968 + 256648969.

It is an arithmetic number, because the mean of its divisors is an integer number (256648969).

Almost surely, 2^513297937 is an apocalyptic number.

It is an amenable number.

513297937 is a deficient number, since it is larger than the sum of its proper divisors (1).

513297937 is an equidigital number, since it uses as much as digits as its factorization.

513297937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 357210, while the sum is 46.

The square root of 513297937 is about 22656.0794710824. The cubic root of 513297937 is about 800.6754384223.

The spelling of 513297937 in words is "five hundred thirteen million, two hundred ninety-seven thousand, nine hundred thirty-seven".