516261625 has 64 divisors (see below), whose sum is σ = 739964160. Its totient is φ = 359128000.

The previous prime is 516261617. The next prime is 516261653. The reversal of 516261625 is 526162615.

It is not a de Polignac number, because 516261625 - 2³ = 516261617 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 4824822 + ... + 4824928.

It is an arithmetic number, because the mean of its divisors is an integer number (11561940).

Almost surely, 2^516261625 is an apocalyptic number.

516261625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

516261625 is a deficient number, since it is larger than the sum of its proper divisors (223702535).

516261625 is a wasteful number, since it uses less digits than its factorization.

516261625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 152 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 516261625 is about 22721.3913526439. The cubic root of 516261625 is about 802.2134664139.

The spelling of 516261625 in words is "five hundred sixteen million, two hundred sixty-one thousand, six hundred twenty-five".