225101077677 has 64 divisors (see below), whose sum is σ = 387755827200. Its totient is φ = 126392736960.

The previous prime is 225101077651. The next prime is 225101077723. The reversal of 225101077677 is 776770101522.

225101077677 is a `hidden beast` number, since 2 + 2 + 510 + 1 + 0 + 77 + 67 + 7 = 666.

225101077677 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225101077677 - 2⁷ = 225101077549 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225101077627) 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 in 63 ways as a sum of consecutive naturals, for example, 49028652 + ... + 49033242.

It is an arithmetic number, because the mean of its divisors is an integer number (6058684800).

Almost surely, 2^225101077677 is an apocalyptic number.

225101077677 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

225101077677 is a deficient number, since it is larger than the sum of its proper divisors (162654749523).

225101077677 is a wasteful number, since it uses less digits than its factorization.

225101077677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9063 (or 9057 counting only the distinct ones).

The product of its (nonzero) digits is 288120, while the sum is 45.

The spelling of 225101077677 in words is "two hundred twenty-five billion, one hundred one million, seventy-seven thousand, six hundred seventy-seven".