262753634025 has 63 divisors (see below), whose sum is σ = 488626980181. Its totient is φ = 140098364640.

The previous prime is 262753633981. The next prime is 262753634041. The reversal of 262753634025 is 520436357262.

The square root of 262753634025 is 512595.

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

262753634025 is a `hidden beast` number, since 2 + 6 + 2 + 7 + 5 + 3 + 634 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138488923881 + 124264710144 = 372141^2 + 352512^2 .

It is not a de Polignac number, because 262753634025 - 2¹¹ = 262753631977 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 69198427 + ... + 69202223.

Almost surely, 2^262753634025 is an apocalyptic number.

262753634025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

262753634025 is the 512595-th square number.

262753634025 is the 256298-th centered octagonal number.

It is an amenable number.

262753634025 is a deficient number, since it is larger than the sum of its proper divisors (225873346156).

262753634025 is an frugal number, since it uses more digits than its factorization.

262753634025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7622 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 262753634025 in words is "two hundred sixty-two billion, seven hundred fifty-three million, six hundred thirty-four thousand, twenty-five".