513204162305 has 16 divisors (see below), whose sum is σ = 633467174400. Its totient is φ = 398849516352.

The previous prime is 513204162299. The next prime is 513204162307. The reversal of 513204162305 is 503261402315.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 513204162305 - 2¹² = 513204158209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513204162307) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2024105 + ... + 2263494.

It is an arithmetic number, because the mean of its divisors is an integer number (39591698400).

Almost surely, 2^513204162305 is an apocalyptic number.

It is an amenable number.

513204162305 is a deficient number, since it is larger than the sum of its proper divisors (120263012095).

513204162305 is a wasteful number, since it uses less digits than its factorization.

513204162305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4288288.

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 513204162305 in words is "five hundred thirteen billion, two hundred four million, one hundred sixty-two thousand, three hundred five".