264106625 has 32 divisors (see below), whose sum is σ = 349483680. Its totient is φ = 198912000.

The previous prime is 264106613. The next prime is 264106649. The reversal of 264106625 is 526601462.

It can be written as a sum of positive squares in 16 ways, for example, as 240126016 + 23980609 = 15496^2 + 4897^2 .

It is not a de Polignac number, because 264106625 - 2¹⁰ = 264105601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 264106591 and 264106600.

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 31 ways as a sum of consecutive naturals, for example, 147737 + ... + 149513.

It is an arithmetic number, because the mean of its divisors is an integer number (10921365).

Almost surely, 2^264106625 is an apocalyptic number.

264106625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

264106625 is a deficient number, since it is larger than the sum of its proper divisors (85377055).

264106625 is a wasteful number, since it uses less digits than its factorization.

264106625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 264106625 is about 16251.3576355946. The cubic root of 264106625 is about 641.5932188565.

The spelling of 264106625 in words is "two hundred sixty-four million, one hundred six thousand, six hundred twenty-five".