264258825 has 24 divisors (see below), whose sum is σ = 437808288. Its totient is φ = 140647680.

The previous prime is 264258811. The next prime is 264258851. The reversal of 264258825 is 528852462.

It is not a de Polignac number, because 264258825 - 2⁵ = 264258793 is a prime.

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, 35857 + ... + 42593.

It is an arithmetic number, because the mean of its divisors is an integer number (18242012).

Almost surely, 2^264258825 is an apocalyptic number.

264258825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264258825 is a deficient number, since it is larger than the sum of its proper divisors (173549463).

264258825 is a wasteful number, since it uses less digits than its factorization.

264258825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7273 (or 7268 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 264258825 is about 16256.0396468513. The cubic root of 264258825 is about 641.7164414828.

The spelling of 264258825 in words is "two hundred sixty-four million, two hundred fifty-eight thousand, eight hundred twenty-five".