513121 has 4 divisors (see below), whose sum is σ = 586432. Its totient is φ = 439812.

The previous prime is 513109. The next prime is 513131. The reversal of 513121 is 121315.

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 513121 - 2⁹ = 512609 is a prime.

513121 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (513101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36645 + ... + 36658.

It is an arithmetic number, because the mean of its divisors is an integer number (146608).

2⁵¹³¹²¹ is an apocalyptic number.

It is an amenable number.

513121 is a deficient number, since it is larger than the sum of its proper divisors (73311).

513121 is an equidigital number, since it uses as much as digits as its factorization.

513121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73310.

The product of its digits is 30, while the sum is 13.

The square root of 513121 is about 716.3246470700. The cubic root of 513121 is about 80.0583428577.

Adding to 513121 its reverse (121315), we get a palindrome (634436).

The spelling of 513121 in words is "five hundred thirteen thousand, one hundred twenty-one".