513274761 has 12 divisors (see below), whose sum is σ = 785008692. Its totient is φ = 322054656.

The previous prime is 513274757. The next prime is 513274819. The reversal of 513274761 is 167472315.

It is a happy number.

513274761 is a `hidden beast` number, since 513 + 2 + 74 + 76 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 422549136 + 90725625 = 20556^2 + 9525^2 .

It is not a de Polignac number, because 513274761 - 2² = 513274757 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513274361) 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, 1677216 + ... + 1677521.

It is an arithmetic number, because the mean of its divisors is an integer number (65417391).

Almost surely, 2^513274761 is an apocalyptic number.

513274761 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

513274761 is a deficient number, since it is larger than the sum of its proper divisors (271733931).

513274761 is a wasteful number, since it uses less digits than its factorization.

513274761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3354760 (or 3354757 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 513274761 is about 22655.5679911142. The cubic root of 513274761 is about 800.6633877646.

The spelling of 513274761 in words is "five hundred thirteen million, two hundred seventy-four thousand, seven hundred sixty-one".