170540091225 has 567 divisors, whose sum is σ = 406917922383. Its totient is φ = 70646748480.

The previous prime is 170540091203. The next prime is 170540091257. The reversal of 170540091225 is 522190045071.

The square root of 170540091225 is 412965.

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

170540091225 is a `hidden beast` number, since 1 + 7 + 0 + 540 + 0 + 91 + 2 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61394432841 + 109145658384 = 247779^2 + 330372^2 .

It is a tau number, because it is divible by the number of its divisors (567).

It is not a de Polignac number, because 170540091225 - 2³⁷ = 33101137753 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 170540091225.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 7414786564 + ... + 7414786586.

Almost surely, 2^170540091225 is an apocalyptic number.

170540091225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

170540091225 is the 412965-th square number.

170540091225 is the 206483-rd centered octagonal number.

It is an amenable number.

170540091225 is an abundant number, since it is smaller than the sum of its proper divisors (236377831158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

170540091225 is an equidigital number, since it uses as much as digits as its factorization.

170540091225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

Multiplying 170540091225 by its sum of digits (36), we get a square (6139443284100 = 2477790²).

The spelling of 170540091225 in words is "one hundred seventy billion, five hundred forty million, ninety-one thousand, two hundred twenty-five".