125507617 has 8 divisors (see below), whose sum is σ = 133785000. Its totient is φ = 117329664.

The previous prime is 125507611. The next prime is 125507639. The reversal of 125507617 is 716705521.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 30074256 + 95433361 = 5484^2 + 9769^2 .

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 125507617 - 2¹⁵ = 125474849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125507611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22242 + ... + 27307.

It is an arithmetic number, because the mean of its divisors is an integer number (16723125).

Almost surely, 2^125507617 is an apocalyptic number.

125507617 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

125507617 is a deficient number, since it is larger than the sum of its proper divisors (8277383).

125507617 is a wasteful number, since it uses less digits than its factorization.

125507617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49715.

The product of its (nonzero) digits is 14700, while the sum is 34.

The square root of 125507617 is about 11203.0182093934. The cubic root of 125507617 is about 500.6759085502.

The spelling of 125507617 in words is "one hundred twenty-five million, five hundred seven thousand, six hundred seventeen".