513063957 has 48 divisors (see below), whose sum is σ = 816564672. Its totient is φ = 285626880.

The previous prime is 513063953. The next prime is 513063959. The reversal of 513063957 is 759360315.

It is not a de Polignac number, because 513063957 - 2² = 513063953 is a prime.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513063953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1112707 + ... + 1113167.

It is an arithmetic number, because the mean of its divisors is an integer number (17011764).

Almost surely, 2^513063957 is an apocalyptic number.

It is an amenable number.

513063957 is a deficient number, since it is larger than the sum of its proper divisors (303500715).

513063957 is a wasteful number, since it uses less digits than its factorization.

513063957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 39.

The square root of 513063957 is about 22650.9151470752. The cubic root of 513063957 is about 800.5537608685.

The spelling of 513063957 in words is "five hundred thirteen million, sixty-three thousand, nine hundred fifty-seven".