125738323217 has 8 divisors (see below), whose sum is σ = 135601499880. Its totient is φ = 115902432000.

The previous prime is 125738323189. The next prime is 125738323219. The reversal of 125738323217 is 712323837521.

It is a Cunningham number, because it is equal to 354596²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1 + 125738323216 = 1^2 + 354596^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 125738323217 - 2¹⁸ = 125738061073 is a prime.

It is a super-2 number, since 2×125738323217² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125738323219) 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 7 ways as a sum of consecutive naturals, for example, 6811784 + ... + 6830217.

It is an arithmetic number, because the mean of its divisors is an integer number (16950187485).

Almost surely, 2^125738323217 is an apocalyptic number.

It is an amenable number.

125738323217 is a deficient number, since it is larger than the sum of its proper divisors (9863176663).

125738323217 is a wasteful number, since it uses less digits than its factorization.

125738323217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13642723.

The product of its digits is 423360, while the sum is 44.

The spelling of 125738323217 in words is "one hundred twenty-five billion, seven hundred thirty-eight million, three hundred twenty-three thousand, two hundred seventeen".