513261321 has 16 divisors (see below), whose sum is σ = 698827584. Its totient is φ = 335003904.

The previous prime is 513261317. The next prime is 513261349. The reversal of 513261321 is 123162315.

It is not a de Polignac number, because 513261321 - 2² = 513261317 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 513261291 and 513261300.

It is not an unprimeable number, because it can be changed into a prime (513261311) 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, 21450 + ... + 38556.

It is an arithmetic number, because the mean of its divisors is an integer number (43676724).

Almost surely, 2^513261321 is an apocalyptic number.

It is an amenable number.

513261321 is a deficient number, since it is larger than the sum of its proper divisors (185566263).

513261321 is a wasteful number, since it uses less digits than its factorization.

513261321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17320.

The product of its digits is 1080, while the sum is 24.

The square root of 513261321 is about 22655.2713733471. The cubic root of 513261321 is about 800.6563992985.

The spelling of 513261321 in words is "five hundred thirteen million, two hundred sixty-one thousand, three hundred twenty-one".