268915525 has 24 divisors (see below), whose sum is σ = 339368904. Its totient is φ = 211353600.

The previous prime is 268915499. The next prime is 268915573. The reversal of 268915525 is 525519862.

It can be written as a sum of positive squares in 12 ways, for example, as 1985281 + 266930244 = 1409^2 + 16338^2 .

It is not a de Polignac number, because 268915525 - 2⁷ = 268915397 is a prime.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419205 + ... + 419845.

It is an arithmetic number, because the mean of its divisors is an integer number (14140371).

Almost surely, 2^268915525 is an apocalyptic number.

268915525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268915525 is a deficient number, since it is larger than the sum of its proper divisors (70453379).

268915525 is a wasteful number, since it uses less digits than its factorization.

268915525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 916 counting only the distinct ones).

The product of its digits is 216000, while the sum is 43.

The square root of 268915525 is about 16398.6439988189. The cubic root of 268915525 is about 645.4639011917.

The spelling of 268915525 in words is "two hundred sixty-eight million, nine hundred fifteen thousand, five hundred twenty-five".