513305601 has 8 divisors (see below), whose sum is σ = 684681984. Its totient is φ = 342066480.

The previous prime is 513305563. The next prime is 513305621. The reversal of 513305601 is 106503315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 513305601 - 2⁶ = 513305537 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (513305621) 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, 25246 + ... + 40791.

It is an arithmetic number, because the mean of its divisors is an integer number (85585248).

Almost surely, 2^513305601 is an apocalyptic number.

It is an amenable number.

513305601 is a deficient number, since it is larger than the sum of its proper divisors (171376383).

513305601 is a wasteful number, since it uses less digits than its factorization.

513305601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68631.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 513305601 is about 22656.2486082758. The cubic root of 513305601 is about 800.6794233374.

Adding to 513305601 its reverse (106503315), we get a palindrome (619808916).

The spelling of 513305601 in words is "five hundred thirteen million, three hundred five thousand, six hundred one".