513313121 has 4 divisors (see below), whose sum is σ = 513669312. Its totient is φ = 512956932.

The previous prime is 513313093. The next prime is 513313183. The reversal of 513313121 is 121313315.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 513313121 - 2¹⁰ = 513312097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513313093 and 513313102.

It is not an unprimeable number, because it can be changed into a prime (513313921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 175925 + ... + 178818.

It is an arithmetic number, because the mean of its divisors is an integer number (128417328).

Almost surely, 2^513313121 is an apocalyptic number.

It is an amenable number.

513313121 is a deficient number, since it is larger than the sum of its proper divisors (356191).

513313121 is a wasteful number, since it uses less digits than its factorization.

513313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356190.

The product of its digits is 270, while the sum is 20.

The square root of 513313121 is about 22656.4145662989. The cubic root of 513313121 is about 800.6833333407.

Adding to 513313121 its reverse (121313315), we get a palindrome (634626436).

The spelling of 513313121 in words is "five hundred thirteen million, three hundred thirteen thousand, one hundred twenty-one".