37166056225 has 9 divisors (see below), whose sum is σ = 46087105017. Its totient is φ = 29732073840.

The previous prime is 37166056223. The next prime is 37166056253. The reversal of 37166056225 is 52265066173.

The square root of 37166056225 is 192785.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3682911969 + 33483144256 = 60687^2 + 182984^2 .

It is not a de Polignac number, because 37166056225 - 2¹ = 37166056223 is a prime.

It is a super-2 number, since 2×37166056225² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37166056223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 944647 + ... + 983203.

Almost surely, 2^37166056225 is an apocalyptic number.

37166056225 is the 192785-th square number.

37166056225 is the 96393-rd centered octagonal number.

It is an amenable number.

37166056225 is a deficient number, since it is larger than the sum of its proper divisors (8921048792).

37166056225 is an frugal number, since it uses more digits than its factorization.

37166056225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77124 (or 38562 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 43.

The spelling of 37166056225 in words is "thirty-seven billion, one hundred sixty-six million, fifty-six thousand, two hundred twenty-five".