264900649225 has 27 divisors (see below), whose sum is σ = 332942891463. Its totient is φ = 209077399440.

The previous prime is 264900649217. The next prime is 264900649249. The reversal of 264900649225 is 522946009462.

The square root of 264900649225 is 514685.

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

264900649225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 95364233721 + 169536415504 = 308811^2 + 411748^2 .

It is not a de Polignac number, because 264900649225 - 2³ = 264900649217 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 203299924 + ... + 203301226.

Almost surely, 2^264900649225 is an apocalyptic number.

264900649225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

264900649225 is the 514685-th square number.

264900649225 is the 257343-rd centered octagonal number.

It is an amenable number.

264900649225 is a deficient number, since it is larger than the sum of its proper divisors (68042242238).

264900649225 is an frugal number, since it uses more digits than its factorization.

264900649225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 264900649225 by its sum of digits (49), we get a square (12980131812025 = 3602795²).

The spelling of 264900649225 in words is "two hundred sixty-four billion, nine hundred million, six hundred forty-nine thousand, two hundred twenty-five".