225753216581607 has 48 divisors (see below), whose sum is σ = 359722691465088. Its totient is φ = 124154903165760.

The previous prime is 225753216581591. The next prime is 225753216581623. The reversal of 225753216581607 is 706185612357522.

It is an interprime number because it is at equal distance from previous prime (225753216581591) and next prime (225753216581623).

It is not a de Polignac number, because 225753216581607 - 2⁴ = 225753216581591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225753216585607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74092873 + ... + 77079570.

It is an arithmetic number, because the mean of its divisors is an integer number (7494222738856).

Almost surely, 2^{225753216581607} is an apocalyptic number.

225753216581607 is a deficient number, since it is larger than the sum of its proper divisors (133969474883481).

225753216581607 is a wasteful number, since it uses less digits than its factorization.

225753216581607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151172588 (or 151172529 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 60.

The spelling of 225753216581607 in words is "two hundred twenty-five trillion, seven hundred fifty-three billion, two hundred sixteen million, five hundred eighty-one thousand, six hundred seven".