125033667201 has 45 divisors (see below), whose sum is σ = 189132490393. Its totient is φ = 82318312800.

The previous prime is 125033667169. The next prime is 125033667247. The reversal of 125033667201 is 102766330521.

The square root of 125033667201 is 353601.

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

125033667201 is a `hidden beast` number, since 1 + 250 + 336 + 6 + 72 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 11491625601 + 113542041600 = 107199^2 + 336960^2 .

It is not a de Polignac number, because 125033667201 - 2⁵ = 125033667169 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (125033617201) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 321423115 + ... + 321423503.

Almost surely, 2^125033667201 is an apocalyptic number.

125033667201 is the 353601-st square number.

125033667201 is the 176801-st centered octagonal number.

It is an amenable number.

125033667201 is a deficient number, since it is larger than the sum of its proper divisors (64098823192).

125033667201 is an frugal number, since it uses more digits than its factorization.

125033667201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 125033667201 by its sum of digits (36), we get a square (4501212019236 = 2121606²).

Adding to 125033667201 its reverse (102766330521), we get a palindrome (227799997722).

The spelling of 125033667201 in words is "one hundred twenty-five billion, thirty-three million, six hundred sixty-seven thousand, two hundred one".