513523153 has 24 divisors (see below), whose sum is σ = 627538688. Its totient is φ = 416988000.

The previous prime is 513523133. The next prime is 513523177. The reversal of 513523153 is 351325315.

It is not a de Polignac number, because 513523153 - 2⁵ = 513523121 is a prime.

It is a super-2 number, since 2×513523153² = 527412057334122818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513523123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43498 + ... + 54028.

Almost surely, 2^513523153 is an apocalyptic number.

It is an amenable number.

513523153 is a deficient number, since it is larger than the sum of its proper divisors (114015535).

513523153 is a wasteful number, since it uses less digits than its factorization.

513523153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10597 (or 10586 counting only the distinct ones).

The product of its digits is 6750, while the sum is 28.

The square root of 513523153 is about 22661.0492475525. The cubic root of 513523153 is about 800.7925234781.

Adding to 513523153 its reverse (351325315), we get a palindrome (864848468).

The spelling of 513523153 in words is "five hundred thirteen million, five hundred twenty-three thousand, one hundred fifty-three".