268064027001 has 9 divisors (see below), whose sum is σ = 387205838149. Its totient is φ = 178708315836.

The previous prime is 268064026969. The next prime is 268064027003. The reversal of 268064027001 is 100720460862.

The square root of 268064027001 is 517749.

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

268064027001 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 640 + 2 + 7 + 0 + 0 + 1 = 666.

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

It is not a de Polignac number, because 268064027001 - 2⁵ = 268064026969 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (268064027003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1466956 + ... + 1639538.

Almost surely, 2^268064027001 is an apocalyptic number.

268064027001 is the 517749-th square number.

268064027001 is the 258875-th centered octagonal number.

It is an amenable number.

268064027001 is a deficient number, since it is larger than the sum of its proper divisors (119141811148).

268064027001 is an frugal number, since it uses more digits than its factorization.

268064027001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345172 (or 172586 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 268064027001 by its sum of digits (36), we get a square (9650304972036 = 3106494²).

Adding to 268064027001 its reverse (100720460862), we get a palindrome (368784487863).

The spelling of 268064027001 in words is "two hundred sixty-eight billion, sixty-four million, twenty-seven thousand, one".