252611786025 has 243 divisors, whose sum is σ = 506027674191. Its totient is φ = 125064207360.

The previous prime is 252611786023. The next prime is 252611786039. The reversal of 252611786025 is 520687116252.

The square root of 252611786025 is 502605.

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

252611786025 is a `hidden beast` number, since 2 + 5 + 2 + 611 + 7 + 8 + 6 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 72187330329 + 180424455696 = 268677^2 + 424764^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 252611786025 - 2¹ = 252611786023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (252611786023) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 3460435389 + ... + 3460435461.

Almost surely, 2^252611786025 is an apocalyptic number.

252611786025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

252611786025 is the 502605-th square number.

252611786025 is the 251303-rd centered octagonal number.

It is an amenable number.

252611786025 is an abundant number, since it is smaller than the sum of its proper divisors (253415888166).

252611786025 is an frugal number, since it uses more digits than its factorization.

252611786025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 252611786025 in words is "two hundred fifty-two billion, six hundred eleven million, seven hundred eighty-six thousand, twenty-five".