225810157822591 has 2 divisors, whose sum is σ = 225810157822592. Its totient is φ = 225810157822590.

The previous prime is 225810157822553. The next prime is 225810157822619. The reversal of 225810157822591 is 195228751018522.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 225810157822591 - 2²³ = 225810149433983 is a prime.

It is a super-3 number, since 3×225810157822591³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (225810157822511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112905078911295 + 112905078911296.

It is an arithmetic number, because the mean of its divisors is an integer number (112905078911296).

Almost surely, 2^{225810157822591} is an apocalyptic number.

225810157822591 is a deficient number, since it is larger than the sum of its proper divisors (1).

225810157822591 is an equidigital number, since it uses as much as digits as its factorization.

225810157822591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064000, while the sum is 58.

The spelling of 225810157822591 in words is "two hundred twenty-five trillion, eight hundred ten billion, one hundred fifty-seven million, eight hundred twenty-two thousand, five hundred ninety-one".