264095001 has 9 divisors (see below), whose sum is σ = 381540991. Its totient is φ = 176030832.

The previous prime is 264094973. The next prime is 264095009. The reversal of 264095001 is 100590462.

The square root of 264095001 is 16251.

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., 21483225 + 242611776 = 4635^2 + 15576^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 264095001 - 2²⁷ = 129877273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264095009) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 46045 + ... + 51461.

Almost surely, 2^264095001 is an apocalyptic number.

264095001 is the 16251-st square number.

264095001 is the 8126-th centered octagonal number.

It is an amenable number.

264095001 is a deficient number, since it is larger than the sum of its proper divisors (117445990).

264095001 is an frugal number, since it uses more digits than its factorization.

264095001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10840 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 264095001 is about 641.5838060055.

The spelling of 264095001 in words is "two hundred sixty-four million, ninety-five thousand, one".