872225203423681 has 2 divisors, whose sum is σ = 872225203423682. Its totient is φ = 872225203423680.

The previous prime is 872225203423661. The next prime is 872225203423723. The reversal of 872225203423681 is 186324302522278.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 832800555424656 + 39424647999025 = 28858284^2 + 6278905^2 .

It is a cyclic number.

It is not a de Polignac number, because 872225203423681 - 2³⁵ = 872190843685313 is a prime.

It is a super-2 number, since 2×872225203423681² (a number of 31 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (872225203423661) 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 as a sum of consecutive naturals, namely, 436112601711840 + 436112601711841.

It is an arithmetic number, because the mean of its divisors is an integer number (436112601711841).

Almost surely, 2^{872225203423681} is an apocalyptic number.

It is an amenable number.

872225203423681 is a deficient number, since it is larger than the sum of its proper divisors (1).

872225203423681 is an equidigital number, since it uses as much as digits as its factorization.

872225203423681 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 872225203423681 in words is "eight hundred seventy-two trillion, two hundred twenty-five billion, two hundred three million, four hundred twenty-three thousand, six hundred eighty-one".