510986025 has 81 divisors (see below), whose sum is σ = 1013396293. Its totient is φ = 245942400.

The previous prime is 510986011. The next prime is 510986039. The reversal of 510986025 is 520689015.

It is a happy number.

The square root of 510986025 is 22605.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (510986011) and next prime (510986039).

It can be written as a sum of positive squares in 4 ways, for example, as 1490841 + 509495184 = 1221^2 + 22572^2 .

It is not a de Polignac number, because 510986025 - 2⁹ = 510985513 is a prime.

It is a super-2 number, since 2×510986025² = 522213435490601250, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3729757 + ... + 3729893.

Almost surely, 2^510986025 is an apocalyptic number.

510986025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

510986025 is the 22605-th square number.

510986025 is the 11303-rd centered octagonal number.

It is an amenable number.

510986025 is a deficient number, since it is larger than the sum of its proper divisors (502410268).

510986025 is a wasteful number, since it uses less digits than its factorization.

510986025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The cubic root of 510986025 is about 799.4715390089.

Multiplying 510986025 by its sum of digits (36), we get a square (18395496900 = 135630²).

The spelling of 510986025 in words is "five hundred ten million, nine hundred eighty-six thousand, twenty-five".