2251327564567 has 4 divisors (see below), whose sum is σ = 2279825381920. Its totient is φ = 2222829747216.

The previous prime is 2251327564561. The next prime is 2251327564571. The reversal of 2251327564567 is 7654657231522.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 2251327564567 - 2³⁹ = 1701571750679 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251327564561) 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 3 ways as a sum of consecutive naturals, for example, 14248908558 + ... + 14248908715.

It is an arithmetic number, because the mean of its divisors is an integer number (569956345480).

Almost surely, 2^{2251327564567} is an apocalyptic number.

2251327564567 is a deficient number, since it is larger than the sum of its proper divisors (28497817353).

2251327564567 is an equidigital number, since it uses as much as digits as its factorization.

2251327564567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28497817352.

The product of its digits is 21168000, while the sum is 55.

The spelling of 2251327564567 in words is "two trillion, two hundred fifty-one billion, three hundred twenty-seven million, five hundred sixty-four thousand, five hundred sixty-seven".