165172682025 has 72 divisors (see below), whose sum is σ = 329586118680. Its totient is φ = 78511749120.

The previous prime is 165172681901. The next prime is 165172682029. The reversal of 165172682025 is 520286271561.

165172682025 is a `hidden beast` number, since 16 + 517 + 26 + 82 + 0 + 25 = 666.

165172682025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 76828198041 + 88344483984 = 277179^2 + 297228^2 .

It is not a de Polignac number, because 165172682025 - 2²⁸ = 164904246569 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 (165172682029) 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 71 ways as a sum of consecutive naturals, for example, 888784 + ... + 1058433.

Almost surely, 2^165172682025 is an apocalyptic number.

165172682025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165172682025 is a deficient number, since it is larger than the sum of its proper divisors (164413436655).

165172682025 is a wasteful number, since it uses less digits than its factorization.

165172682025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1947275 (or 1947267 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 165172682025 in words is "one hundred sixty-five billion, one hundred seventy-two million, six hundred eighty-two thousand, twenty-five".