513120172 has 24 divisors (see below), whose sum is σ = 903571200. Its totient is φ = 254963280.

The previous prime is 513120151. The next prime is 513120173. The reversal of 513120172 is 271021315.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (513120173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 792753 + ... + 793399.

It is an arithmetic number, because the mean of its divisors is an integer number (37648800).

Almost surely, 2^513120172 is an apocalyptic number.

It is an amenable number.

513120172 is a deficient number, since it is larger than the sum of its proper divisors (390451028).

513120172 is a wasteful number, since it uses less digits than its factorization.

513120172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 513120172 is about 22652.1560121769. The cubic root of 513120172 is about 800.5829979552.

Adding to 513120172 its reverse (271021315), we get a palindrome (784141487).

The spelling of 513120172 in words is "five hundred thirteen million, one hundred twenty thousand, one hundred seventy-two".