172312161025 has 27 divisors (see below), whose sum is σ = 217386966459. Its totient is φ = 135490272000.

The previous prime is 172312161013. The next prime is 172312161031. The reversal of 172312161025 is 520161213271.

The square root of 172312161025 is 415105.

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

It can be written as a sum of positive squares in 13 ways, for example, as 155146968769 + 17165192256 = 393887^2 + 131016^2 .

It is not a de Polignac number, because 172312161025 - 2¹⁹ = 172311636737 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 126606345 + ... + 126607705.

Almost surely, 2^172312161025 is an apocalyptic number.

172312161025 is the 415105-th square number.

172312161025 is the 207553-rd centered octagonal number.

It is an amenable number.

172312161025 is a deficient number, since it is larger than the sum of its proper divisors (45074805434).

172312161025 is an frugal number, since it uses more digits than its factorization.

172312161025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

Adding to 172312161025 its reverse (520161213271), we get a palindrome (692473374296).

The spelling of 172312161025 in words is "one hundred seventy-two billion, three hundred twelve million, one hundred sixty-one thousand, twenty-five".