513204147 has 8 divisors (see below), whose sum is σ = 760302480. Its totient is φ = 342136080.

The previous prime is 513204137. The next prime is 513204149. The reversal of 513204147 is 741402315.

513204147 is a `hidden beast` number, since 513 + 2 + 0 + 4 + 147 = 666.

It is not a de Polignac number, because 513204147 - 2⁷ = 513204019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 19007561 = 513204147 / (5 + 1 + 3 + 2 + 0 + 4 + 1 + 4 + 7).

It is a self number, because there is not a number n which added to its sum of digits gives 513204147.

It is not an unprimeable number, because it can be changed into a prime (513204149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9503754 + ... + 9503807.

It is an arithmetic number, because the mean of its divisors is an integer number (95037810).

Almost surely, 2^513204147 is an apocalyptic number.

513204147 is a deficient number, since it is larger than the sum of its proper divisors (247098333).

513204147 is a wasteful number, since it uses less digits than its factorization.

513204147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19007570 (or 19007564 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 513204147 is about 22654.0095126668. The cubic root of 513204147 is about 800.6266688753.

The spelling of 513204147 in words is "five hundred thirteen million, two hundred four thousand, one hundred forty-seven".