268888917025 has 27 divisors (see below), whose sum is σ = 336318037419. Its totient is φ = 213258890880.

The previous prime is 268888917019. The next prime is 268888917049. The reversal of 268888917025 is 520719888862.

The square root of 268888917025 is 518545.

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

It can be written as a sum of positive squares in 13 ways, for example, as 117050884129 + 151838032896 = 342127^2 + 389664^2 .

It is not a de Polignac number, because 268888917025 - 2⁵ = 268888916993 is a prime.

It is a Duffinian number.

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 26 ways as a sum of consecutive naturals, for example, 355202947 + ... + 355203703.

Almost surely, 2^268888917025 is an apocalyptic number.

268888917025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

268888917025 is the 518545-th square number.

268888917025 is the 259273-rd centered octagonal number.

It is an amenable number.

268888917025 is a deficient number, since it is larger than the sum of its proper divisors (67429120394).

268888917025 is an frugal number, since it uses more digits than its factorization.

268888917025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 64.

Multiplying 268888917025 by its sum of digits (64), we get a square (17208890689600 = 4148360²).

The spelling of 268888917025 in words is "two hundred sixty-eight billion, eight hundred eighty-eight million, nine hundred seventeen thousand, twenty-five".