31867605225 has 45 divisors (see below), whose sum is σ = 59044704807. Its totient is φ = 16991771760.

The previous prime is 31867605197. The next prime is 31867605229. The reversal of 31867605225 is 52250676813.

The square root of 31867605225 is 178515.

It is a perfect power (a square), and thus also a powerful number.

31867605225 is a `hidden beast` number, since 3 + 1 + 8 + 67 + 60 + 522 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11472337881 + 20395267344 = 107109^2 + 142812^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2^k-31867605225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (31867605229) 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 44 ways as a sum of consecutive naturals, for example, 8031192 + ... + 8035158.

Almost surely, 2^31867605225 is an apocalyptic number.

31867605225 is the 178515-th square number.

31867605225 is the 89258-th centered octagonal number.

It is an amenable number.

31867605225 is a deficient number, since it is larger than the sum of its proper divisors (27177099582).

31867605225 is an frugal number, since it uses more digits than its factorization.

31867605225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 31867605225 in words is "thirty-one billion, eight hundred sixty-seven million, six hundred five thousand, two hundred twenty-five".