170791311751225 has 81 divisors (see below), whose sum is σ = 243368984097967. Its totient is φ = 118799846836000.

The previous prime is 170791311751223. The next prime is 170791311751231. The reversal of 170791311751225 is 522157113197071.

The square root of 170791311751225 is 13068715.

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

It can be written as a sum of positive squares in only one way, i.e., 61484872230441 + 109306439520784 = 7841229^2 + 10454972^2 .

It is not a de Polignac number, because 170791311751225 - 2¹ = 170791311751223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (170791311751223) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 16531919310 + ... + 16531929640.

Almost surely, 2^{170791311751225} is an apocalyptic number.

170791311751225 is the 13068715-th square number.

170791311751225 is the 6534358-th centered octagonal number.

It is an amenable number.

170791311751225 is a deficient number, since it is larger than the sum of its proper divisors (72577672346742).

170791311751225 is an frugal number, since it uses more digits than its factorization.

170791311751225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20740 (or 10370 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 52.

The spelling of 170791311751225 in words is "one hundred seventy trillion, seven hundred ninety-one billion, three hundred eleven million, seven hundred fifty-one thousand, two hundred twenty-five".