262964865601 has 9 divisors (see below), whose sum is σ = 264433961001. Its totient is φ = 261503895552.

The previous prime is 262964865593. The next prime is 262964865629. The reversal of 262964865601 is 106568469262.

The square root of 262964865601 is 512801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3558003201 + 259406862400 = 59649^2 + 509320^2 .

It is not a de Polignac number, because 262964865601 - 2³ = 262964865593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (262964865661) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98969265 + ... + 98971921.

Almost surely, 2^262964865601 is an apocalyptic number.

262964865601 is the 512801-st square number.

262964865601 is the 256401-st centered octagonal number.

It is an amenable number.

262964865601 is a deficient number, since it is larger than the sum of its proper divisors (1469095400).

262964865601 is an frugal number, since it uses more digits than its factorization.

262964865601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 2850 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 55.

The spelling of 262964865601 in words is "two hundred sixty-two billion, nine hundred sixty-four million, eight hundred sixty-five thousand, six hundred one".