513265137 has 32 divisors (see below), whose sum is σ = 858055680. Its totient is φ = 265120320.

The previous prime is 513265087. The next prime is 513265141. The reversal of 513265137 is 731562315.

It is not a de Polignac number, because 513265137 - 2⁷ = 513265009 is a prime.

It is a super-2 number, since 2×513265137² = 526882201719257538, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 513265098 and 513265107.

It is not an unprimeable number, because it can be changed into a prime (513265187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35143 + ... + 47555.

It is an arithmetic number, because the mean of its divisors is an integer number (26814240).

Almost surely, 2^513265137 is an apocalyptic number.

It is an amenable number.

513265137 is a deficient number, since it is larger than the sum of its proper divisors (344790543).

513265137 is a wasteful number, since it uses less digits than its factorization.

513265137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613.

The product of its digits is 18900, while the sum is 33.

The square root of 513265137 is about 22655.3555920008. The cubic root of 513265137 is about 800.6583835361.

The spelling of 513265137 in words is "five hundred thirteen million, two hundred sixty-five thousand, one hundred thirty-seven".