513248337 has 24 divisors (see below), whose sum is σ = 848190720. Its totient is φ = 292965120.

The previous prime is 513248303. The next prime is 513248353. The reversal of 513248337 is 733842315.

It is not a de Polignac number, because 513248337 - 2²⁰ = 512199761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513248837) 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, 61537 + ... + 69377.

It is an arithmetic number, because the mean of its divisors is an integer number (35341280).

Almost surely, 2^513248337 is an apocalyptic number.

It is an amenable number.

513248337 is a deficient number, since it is larger than the sum of its proper divisors (334942383).

513248337 is a wasteful number, since it uses less digits than its factorization.

513248337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8893 (or 8890 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 513248337 is about 22654.9848157089. The cubic root of 513248337 is about 800.6496478252.

The spelling of 513248337 in words is "five hundred thirteen million, two hundred forty-eight thousand, three hundred thirty-seven".