225177035061231 has 192 divisors, whose sum is σ = 384832908096000. Its totient is φ = 129854220249600.

The previous prime is 225177035061229. The next prime is 225177035061247. The reversal of 225177035061231 is 132160530771522.

225177035061231 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 7 + 7 + 0 + 350 + 61 + 231 = 666.

It is not a de Polignac number, because 225177035061231 - 2¹ = 225177035061229 is a prime.

It is a super-2 number, since 2×225177035061231² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225177035061271) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8928851940 + ... + 8928877158.

It is an arithmetic number, because the mean of its divisors is an integer number (2004338063000).

Almost surely, 2^{225177035061231} is an apocalyptic number.

225177035061231 is a deficient number, since it is larger than the sum of its proper divisors (159655873034769).

225177035061231 is a wasteful number, since it uses less digits than its factorization.

225177035061231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26643 (or 26626 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 225177035061231 in words is "two hundred twenty-five trillion, one hundred seventy-seven billion, thirty-five million, sixty-one thousand, two hundred thirty-one".