125149675225 has 9 divisors (see below), whose sum is σ = 155187790653. Its totient is φ = 100118325120.

The previous prime is 125149675219. The next prime is 125149675241. The reversal of 125149675225 is 522576941521.

The square root of 125149675225 is 353765.

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 22572959049 + 102576716176 = 150243^2 + 320276^2 .

It is not a de Polignac number, because 125149675225 - 2²⁹ = 124612804313 is a prime.

It is a super-3 number, since 3×125149675225³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1733449 + ... + 1804201.

Almost surely, 2^125149675225 is an apocalyptic number.

125149675225 is the 353765-th square number.

125149675225 is the 176883-rd centered octagonal number.

It is an amenable number.

125149675225 is a deficient number, since it is larger than the sum of its proper divisors (30038115428).

125149675225 is an frugal number, since it uses more digits than its factorization.

125149675225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141516 (or 70758 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 49.

Multiplying 125149675225 by its sum of digits (49), we get a square (6132334086025 = 2476355²).

The spelling of 125149675225 in words is "one hundred twenty-five billion, one hundred forty-nine million, six hundred seventy-five thousand, two hundred twenty-five".