513803857 has 18 divisors (see below), whose sum is σ = 607480578. Its totient is φ = 433224288.

The previous prime is 513803839. The next prime is 513803863. The reversal of 513803857 is 758308315.

It can be written as a sum of positive squares in only one way, i.e., 450458176 + 63345681 = 21224^2 + 7959^2 .

It is not a de Polignac number, because 513803857 - 2¹¹ = 513801809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513803837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1355494 + ... + 1355872.

It is an arithmetic number, because the mean of its divisors is an integer number (33748921).

Almost surely, 2^513803857 is an apocalyptic number.

It is an amenable number.

513803857 is a deficient number, since it is larger than the sum of its proper divisors (93676721).

513803857 is an frugal number, since it uses more digits than its factorization.

513803857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The square root of 513803857 is about 22667.2419363274. The cubic root of 513803857 is about 800.9384076626.

The spelling of 513803857 in words is "five hundred thirteen million, eight hundred three thousand, eight hundred fifty-seven".