513300601 has 32 divisors (see below), whose sum is σ = 613899648. Its totient is φ = 423920640.

The previous prime is 513300587. The next prime is 513300617. The reversal of 513300601 is 106003315.

It is not a de Polignac number, because 513300601 - 2⁵ = 513300569 is a prime.

It is a super-2 number, since 2×513300601² = 526955013973922402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (513300101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663651 + ... + 664423.

It is an arithmetic number, because the mean of its divisors is an integer number (19184364).

Almost surely, 2^513300601 is an apocalyptic number.

It is an amenable number.

513300601 is a deficient number, since it is larger than the sum of its proper divisors (100599047).

513300601 is a wasteful number, since it uses less digits than its factorization.

513300601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 513300601 is about 22656.1382631727. The cubic root of 513300601 is about 800.6768235800.

Adding to 513300601 its reverse (106003315), we get a palindrome (619303916).

The spelling of 513300601 in words is "five hundred thirteen million, three hundred thousand, six hundred one".