513533121 has 16 divisors (see below), whose sum is σ = 752087040. Its totient is φ = 310234320.

The previous prime is 513533107. The next prime is 513533123. The reversal of 513533121 is 121335315.

It is not a de Polignac number, because 513533121 - 2⁵ = 513533089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 513533091 and 513533100.

It is not an unprimeable number, because it can be changed into a prime (513533123) 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, 194545 + ... + 197166.

It is an arithmetic number, because the mean of its divisors is an integer number (47005440).

Almost surely, 2^513533121 is an apocalyptic number.

It is an amenable number.

513533121 is a deficient number, since it is larger than the sum of its proper divisors (238553919).

513533121 is a wasteful number, since it uses less digits than its factorization.

513533121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391756.

The product of its digits is 1350, while the sum is 24.

The square root of 513533121 is about 22661.2691833445. The cubic root of 513533121 is about 800.7977048402.

Adding to 513533121 its reverse (121335315), we get a palindrome (634868436).

The spelling of 513533121 in words is "five hundred thirteen million, five hundred thirty-three thousand, one hundred twenty-one".