125210530201 has 9 divisors (see below), whose sum is σ = 125654766559. Its totient is φ = 124767862600.

The previous prime is 125210530199. The next prime is 125210530217. The reversal of 125210530201 is 102035012521.

The square root of 125210530201 is 353851.

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., 34187640201 + 91022890000 = 184899^2 + 301700^2 .

It is not a de Polignac number, because 125210530201 - 2¹ = 125210530199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125210530301) 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, 152509371 + ... + 152510191.

Almost surely, 2^125210530201 is an apocalyptic number.

125210530201 is the 353851-st square number.

125210530201 is the 176926-th centered octagonal number.

It is an amenable number.

125210530201 is a deficient number, since it is larger than the sum of its proper divisors (444236358).

125210530201 is an frugal number, since it uses more digits than its factorization.

125210530201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2504 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 125210530201 its reverse (102035012521), we get a palindrome (227245542722).

The spelling of 125210530201 in words is "one hundred twenty-five billion, two hundred ten million, five hundred thirty thousand, two hundred one".