264123825 has 48 divisors (see below), whose sum is σ = 507586560. Its totient is φ = 118681920.

The previous prime is 264123823. The next prime is 264123859. The reversal of 264123825 is 528321462.

It is not a de Polignac number, because 264123825 - 2¹ = 264123823 is a prime.

It is a super-2 number, since 2×264123825² = 139522789865261250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264123823) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26712 + ... + 35238.

It is an arithmetic number, because the mean of its divisors is an integer number (10574720).

Almost surely, 2^264123825 is an apocalyptic number.

264123825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264123825 is a deficient number, since it is larger than the sum of its proper divisors (243462735).

264123825 is a wasteful number, since it uses less digits than its factorization.

264123825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606 (or 8601 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 264123825 is about 16251.8868135365. The cubic root of 264123825 is about 641.6071465190.

The spelling of 264123825 in words is "two hundred sixty-four million, one hundred twenty-three thousand, eight hundred twenty-five".