513116552 has 64 divisors (see below), whose sum is σ = 1059576000. Its totient is φ = 231517440.

The previous prime is 513116551. The next prime is 513116581. The reversal of 513116552 is 255611315.

It is not an unprimeable number, because it can be changed into a prime (513116551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470074 + ... + 1470422.

It is an arithmetic number, because the mean of its divisors is an integer number (16555875).

Almost surely, 2^513116552 is an apocalyptic number.

513116552 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 513116552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529788000).

513116552 is an abundant number, since it is smaller than the sum of its proper divisors (546459448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

513116552 is a wasteful number, since it uses less digits than its factorization.

513116552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its digits is 4500, while the sum is 29.

The square root of 513116552 is about 22652.0761079421. The cubic root of 513116552 is about 800.5811152791.

Adding to 513116552 its reverse (255611315), we get a palindrome (768727867).

The spelling of 513116552 in words is "five hundred thirteen million, one hundred sixteen thousand, five hundred fifty-two".