125202247163161 has 27 divisors (see below), whose sum is σ = 145880985549663. Its totient is φ = 107141456101680.

The previous prime is 125202247163131. The next prime is 125202247163207. The reversal of 125202247163161 is 161361742202521.

The square root of 125202247163161 is 11189381.

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., 78228275855625 + 46973971307536 = 8844675^2 + 6853756^2 .

It is not a de Polignac number, because 125202247163161 - 2⁹ = 125202247162649 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125202247163131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77620735191 + ... + 77620736803.

Almost surely, 2^{125202247163161} is an apocalyptic number.

125202247163161 is the 11189381-st square number.

125202247163161 is the 5594691-st centered octagonal number.

It is an amenable number.

125202247163161 is a deficient number, since it is larger than the sum of its proper divisors (20678738386502).

125202247163161 is an frugal number, since it uses more digits than its factorization.

125202247163161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222 (or 2611 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

Adding to 125202247163161 its reverse (161361742202521), we get a palindrome (286563989365682).

The spelling of 125202247163161 in words is "one hundred twenty-five trillion, two hundred two billion, two hundred forty-seven million, one hundred sixty-three thousand, one hundred sixty-one".