264801001 has 24 divisors (see below), whose sum is σ = 294041160. Its totient is φ = 238022400.

The previous prime is 264800989. The next prime is 264801011. The reversal of 264801001 is 100108462.

It can be written as a sum of positive squares in 4 ways, for example, as 14402025 + 250398976 = 3795^2 + 15824^2 .

It is not a de Polignac number, because 264801001 - 2⁹ = 264800489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264801011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 628771 + ... + 629191.

It is an arithmetic number, because the mean of its divisors is an integer number (12251715).

Almost surely, 2^264801001 is an apocalyptic number.

It is an amenable number.

264801001 is a deficient number, since it is larger than the sum of its proper divisors (29240159).

264801001 is a wasteful number, since it uses less digits than its factorization.

264801001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 264801001 is about 16272.7072424966. The cubic root of 264801001 is about 642.1550084587.

Adding to 264801001 its reverse (100108462), we get a palindrome (364909463).

The spelling of 264801001 in words is "two hundred sixty-four million, eight hundred one thousand, one".