513202405413 has 16 divisors (see below), whose sum is σ = 733250218176. Its totient is φ = 318129719040.

The previous prime is 513202405369. The next prime is 513202405421. The reversal of 513202405413 is 314504202315.

It is not a de Polignac number, because 513202405413 - 2¹³ = 513202397221 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513202405433) 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, 60614998 + ... + 60623463.

It is an arithmetic number, because the mean of its divisors is an integer number (45828138636).

Almost surely, 2^513202405413 is an apocalyptic number.

It is an amenable number.

513202405413 is a deficient number, since it is larger than the sum of its proper divisors (220047812763).

513202405413 is a wasteful number, since it uses less digits than its factorization.

513202405413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121238564.

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 513202405413 its reverse (314504202315), we get a palindrome (827706607728).

The spelling of 513202405413 in words is "five hundred thirteen billion, two hundred two million, four hundred five thousand, four hundred thirteen".