125066200609 has 27 divisors (see below), whose sum is σ = 153603059697. Its totient is φ = 101519322408.

The previous prime is 125066200583. The next prime is 125066200613. The reversal of 125066200609 is 906002660521.

The square root of 125066200609 is 353647.

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

It is not a de Polignac number, because 125066200609 - 2⁹ = 125066200097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (125066200619) 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 26 ways as a sum of consecutive naturals, for example, 47033722 + ... + 47036380.

It is an arithmetic number, because the mean of its divisors is an integer number (5689002211).

Almost surely, 2^125066200609 is an apocalyptic number.

125066200609 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

125066200609 is the 353647-th square number.

125066200609 is the 176824-th centered octagonal number.

It is an amenable number.

125066200609 is a deficient number, since it is larger than the sum of its proper divisors (28536859088).

125066200609 is an frugal number, since it uses more digits than its factorization.

125066200609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 2685 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 125066200609 in words is "one hundred twenty-five billion, sixty-six million, two hundred thousand, six hundred nine".