264252104001 has 16 divisors (see below), whose sum is σ = 392939942400. Its totient is φ = 175513164624.

The previous prime is 264252103967. The next prime is 264252104023. The reversal of 264252104001 is 100401252462.

264252104001 is a `hidden beast` number, since 2 + 6 + 4 + 252 + 1 + 0 + 400 + 1 = 666.

264252104001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 264252104001 - 2⁶ = 264252103937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (264252105001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 18184401 + ... + 18198926.

It is an arithmetic number, because the mean of its divisors is an integer number (24558746400).

Almost surely, 2^264252104001 is an apocalyptic number.

It is an amenable number.

264252104001 is a deficient number, since it is larger than the sum of its proper divisors (128687838399).

264252104001 is a wasteful number, since it uses less digits than its factorization.

264252104001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36383605 (or 36383599 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 264252104001 its reverse (100401252462), we get a palindrome (364653356463).

The spelling of 264252104001 in words is "two hundred sixty-four billion, two hundred fifty-two million, one hundred four thousand, one".