264049337664025 has 9 divisors (see below), whose sum is σ = 327421279450911. Its totient is φ = 211239405132840.

The previous prime is 264049337663983. The next prime is 264049337664043. The reversal of 264049337664025 is 520466733940462.

The square root of 264049337664025 is 16249595.

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

It can be written as a sum of positive squares in only one way, i.e., 95057761559049 + 168991576104976 = 9749757^2 + 12999676^2 .

It is not a de Polignac number, because 264049337664025 - 2³⁹ = 263499581850137 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 79623016 + ... + 82872934.

Almost surely, 2^{264049337664025} is an apocalyptic number.

264049337664025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

264049337664025 is the 16249595-th square number.

264049337664025 is the 8124798-th centered octagonal number.

It is an amenable number.

264049337664025 is a deficient number, since it is larger than the sum of its proper divisors (63371941786886).

264049337664025 is an frugal number, since it uses more digits than its factorization.

264049337664025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6499848 (or 3249924 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 61.

The spelling of 264049337664025 in words is "two hundred sixty-four trillion, forty-nine billion, three hundred thirty-seven million, six hundred sixty-four thousand, twenty-five".