513316121 has 8 divisors (see below), whose sum is σ = 517630824. Its totient is φ = 509009920.

The previous prime is 513316109. The next prime is 513316147. The reversal of 513316121 is 121613315.

It can be written as a sum of positive squares in 4 ways, for example, as 124634896 + 388681225 = 11164^2 + 19715^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 513316121 - 2⁶ = 513316057 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513316021) 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, 185081 + ... + 187833.

It is an arithmetic number, because the mean of its divisors is an integer number (64703853).

Almost surely, 2^513316121 is an apocalyptic number.

It is an amenable number.

513316121 is a deficient number, since it is larger than the sum of its proper divisors (4314703).

513316121 is a wasteful number, since it uses less digits than its factorization.

513316121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251.

The product of its digits is 540, while the sum is 23.

The square root of 513316121 is about 22656.4807726178. The cubic root of 513316121 is about 800.6848931719.

Adding to 513316121 its reverse (121613315), we get a palindrome (634929436).

The spelling of 513316121 in words is "five hundred thirteen million, three hundred sixteen thousand, one hundred twenty-one".