513215256357 has 24 divisors (see below), whose sum is σ = 759794719320. Its totient is φ = 333621381120.

The previous prime is 513215256347. The next prime is 513215256383. The reversal of 513215256357 is 753652512315.

513215256357 is a `hidden beast` number, since 5 + 1 + 3 + 2 + 1 + 5 + 2 + 5 + 635 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12133903716 + 501081352641 = 110154^2 + 707871^2 .

It is not a de Polignac number, because 513215256357 - 2⁴ = 513215256341 is a prime.

It is a super-2 number, since 2×513215256357² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513215256347) 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, 328903 + ... + 1065179.

It is an arithmetic number, because the mean of its divisors is an integer number (31658113305).

Almost surely, 2^513215256357 is an apocalyptic number.

It is an amenable number.

513215256357 is a deficient number, since it is larger than the sum of its proper divisors (246579462963).

513215256357 is a wasteful number, since it uses less digits than its factorization.

513215256357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738213 (or 738210 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The spelling of 513215256357 in words is "five hundred thirteen billion, two hundred fifteen million, two hundred fifty-six thousand, three hundred fifty-seven".