513300361 has 16 divisors (see below), whose sum is σ = 627072768. Its totient is φ = 410572800.

The previous prime is 513300349. The next prime is 513300373. The reversal of 513300361 is 163003315.

It is an interprime number because it is at equal distance from previous prime (513300349) and next prime (513300373).

It is a cyclic number.

It is not a de Polignac number, because 513300361 - 2⁷ = 513300233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513300341) 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, 32280 + ... + 45481.

It is an arithmetic number, because the mean of its divisors is an integer number (39192048).

Almost surely, 2^513300361 is an apocalyptic number.

It is an amenable number.

513300361 is a deficient number, since it is larger than the sum of its proper divisors (113772407).

513300361 is a wasteful number, since it uses less digits than its factorization.

513300361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77832.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 513300361 is about 22656.1329665943. The cubic root of 513300361 is about 800.6766987912.

Adding to 513300361 its reverse (163003315), we get a palindrome (676303676).

The spelling of 513300361 in words is "five hundred thirteen million, three hundred thousand, three hundred sixty-one".