513395649 has 12 divisors (see below), whose sum is σ = 798615636. Its totient is φ = 315935712.

The previous prime is 513395629. The next prime is 513395653. The reversal of 513395649 is 946593315.

513395649 is a `hidden beast` number, since 51 + 3 + 39 + 564 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142563600 + 370832049 = 11940^2 + 19257^2 .

It is not a de Polignac number, because 513395649 - 2¹⁹ = 512871361 is a prime.

It is a super-3 number, since 3×513395649³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (513395629) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2193882 + ... + 2194115.

It is an arithmetic number, because the mean of its divisors is an integer number (66551303).

Almost surely, 2^513395649 is an apocalyptic number.

It is an amenable number.

513395649 is a deficient number, since it is larger than the sum of its proper divisors (285219987).

513395649 is a wasteful number, since it uses less digits than its factorization.

513395649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4388016 (or 4388013 counting only the distinct ones).

The product of its digits is 437400, while the sum is 45.

The square root of 513395649 is about 22658.2357874571. The cubic root of 513395649 is about 800.7262410388.

The spelling of 513395649 in words is "five hundred thirteen million, three hundred ninety-five thousand, six hundred forty-nine".