268526058025 has 27 divisors (see below), whose sum is σ = 338719723173. Its totient is φ = 211174826400.

The previous prime is 268526057983. The next prime is 268526058149. The reversal of 268526058025 is 520850625862.

The square root of 268526058025 is 518195.

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

It can be written as a sum of positive squares in 4 ways, for example, as 123687966249 + 144838091776 = 351693^2 + 380576^2 .

It is not a de Polignac number, because 268526058025 - 2¹¹ = 268526055977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 268526058025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 158048626 + ... + 158050324.

Almost surely, 2^268526058025 is an apocalyptic number.

268526058025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268526058025 is the 518195-th square number.

268526058025 is the 259098-th centered octagonal number.

It is an amenable number.

268526058025 is a deficient number, since it is larger than the sum of its proper divisors (70193665148).

268526058025 is an frugal number, since it uses more digits than its factorization.

268526058025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3530 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 49.

Multiplying 268526058025 by its sum of digits (49), we get a square (13157776843225 = 3627365²).

The spelling of 268526058025 in words is "two hundred sixty-eight billion, five hundred twenty-six million, fifty-eight thousand, twenty-five".