225745737104401 has 2 divisors, whose sum is σ = 225745737104402. Its totient is φ = 225745737104400.

The previous prime is 225745737104387. The next prime is 225745737104413. The reversal of 225745737104401 is 104401737547522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165276761712001 + 60468975392400 = 12856001^2 + 7776180^2 .

It is a cyclic number.

It is not a de Polignac number, because 225745737104401 - 2⁷ = 225745737104273 is a prime.

It is a super-2 number, since 2×225745737104401² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (225745737104471) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112872868552200 + 112872868552201.

It is an arithmetic number, because the mean of its divisors is an integer number (112872868552201).

Almost surely, 2^{225745737104401} is an apocalyptic number.

It is an amenable number.

225745737104401 is a deficient number, since it is larger than the sum of its proper divisors (1).

225745737104401 is an equidigital number, since it uses as much as digits as its factorization.

225745737104401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6585600, while the sum is 52.

The spelling of 225745737104401 in words is "two hundred twenty-five trillion, seven hundred forty-five billion, seven hundred thirty-seven million, one hundred four thousand, four hundred one".