172425088081 has 9 divisors (see below), whose sum is σ = 172961999121. Its totient is φ = 171889842432.

The previous prime is 172425088051. The next prime is 172425088091. The reversal of 172425088081 is 180880524271.

The square root of 172425088081 is 415241.

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 87137726481 + 85287361600 = 295191^2 + 292040^2 .

It is not a de Polignac number, because 172425088081 - 2⁵ = 172425088049 is a prime.

It is a super-2 number, since 2×172425088081² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (172425088051) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 256203361 + ... + 256204033.

Almost surely, 2^172425088081 is an apocalyptic number.

172425088081 is the 415241-st square number.

172425088081 is the 207621-st centered octagonal number.

It is an amenable number.

172425088081 is a deficient number, since it is larger than the sum of its proper divisors (536911040).

172425088081 is an frugal number, since it uses more digits than its factorization.

172425088081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2580 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 46.

The spelling of 172425088081 in words is "one hundred seventy-two billion, four hundred twenty-five million, eighty-eight thousand, eighty-one".