125696961 has 40 divisors (see below), whose sum is σ = 202972960. Its totient is φ = 76877424.

The previous prime is 125696959. The next prime is 125696969. The reversal of 125696961 is 169696521.

It is a happy number.

It is not a de Polignac number, because 125696961 - 2¹ = 125696959 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125696969) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 771066 + ... + 771228.

It is an arithmetic number, because the mean of its divisors is an integer number (5074324).

Almost surely, 2^125696961 is an apocalyptic number.

It is an amenable number.

125696961 is a deficient number, since it is larger than the sum of its proper divisors (77275999).

125696961 is an frugal number, since it uses more digits than its factorization.

125696961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 179 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 125696961 is about 11211.4656044605. The cubic root of 125696961 is about 500.9275595359.

The spelling of 125696961 in words is "one hundred twenty-five million, six hundred ninety-six thousand, nine hundred sixty-one".