515216625 has 96 divisors (see below), whose sum is σ = 1088380800. Its totient is φ = 214032000.

The previous prime is 515216599. The next prime is 515216659. The reversal of 515216625 is 526612515.

515216625 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 515216625 - 2⁵ = 515216593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 200851 + ... + 203399.

It is an arithmetic number, because the mean of its divisors is an integer number (11337300).

Almost surely, 2^515216625 is an apocalyptic number.

515216625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

515216625 is an abundant number, since it is smaller than the sum of its proper divisors (573164175).

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

515216625 is a wasteful number, since it uses less digits than its factorization.

515216625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2575 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The square root of 515216625 is about 22698.3837530340. The cubic root of 515216625 is about 801.6718293205.

The spelling of 515216625 in words is "five hundred fifteen million, two hundred sixteen thousand, six hundred twenty-five".