125166125257 has 16 divisors (see below), whose sum is σ = 132981341760. Its totient is φ = 117478268352.

The previous prime is 125166125251. The next prime is 125166125263. The reversal of 125166125257 is 752521661521.

It is an interprime number because it is at equal distance from previous prime (125166125251) and next prime (125166125263).

It is a cyclic number.

It is not a de Polignac number, because 125166125257 - 2⁷ = 125166125129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125166125251) 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 15 ways as a sum of consecutive naturals, for example, 918003 + ... + 1045495.

It is an arithmetic number, because the mean of its divisors is an integer number (8311333860).

Almost surely, 2^125166125257 is an apocalyptic number.

It is an amenable number.

125166125257 is a deficient number, since it is larger than the sum of its proper divisors (7815216503).

125166125257 is a wasteful number, since it uses less digits than its factorization.

125166125257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127992.

The product of its digits is 252000, while the sum is 43.

Adding to 125166125257 its reverse (752521661521), we get a palindrome (877687786778).

The spelling of 125166125257 in words is "one hundred twenty-five billion, one hundred sixty-six million, one hundred twenty-five thousand, two hundred fifty-seven".