513446157 has 72 divisors (see below), whose sum is σ = 898180920. Its totient is φ = 281594880.

The previous prime is 513446117. The next prime is 513446161. The reversal of 513446157 is 751644315.

513446157 is a `hidden beast` number, since 5 + 1 + 34 + 4 + 615 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 513430281 = 126^2 + 22659^2 .

It is not a de Polignac number, because 513446157 - 2⁶ = 513446093 is a prime.

It is a super-2 number, since 2×513446157² = 527253912276137298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513446107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1319719 + ... + 1320107.

It is an arithmetic number, because the mean of its divisors is an integer number (12474735).

Almost surely, 2^513446157 is an apocalyptic number.

It is an amenable number.

513446157 is a deficient number, since it is larger than the sum of its proper divisors (384734763).

513446157 is a wasteful number, since it uses less digits than its factorization.

513446157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 513 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 513446157 is about 22659.3503216663. The cubic root of 513446157 is about 800.7524987310.

The spelling of 513446157 in words is "five hundred thirteen million, four hundred forty-six thousand, one hundred fifty-seven".