125378516601 has 20 divisors (see below), whose sum is σ = 201701053092. Its totient is φ = 77156009568.

The previous prime is 125378516579. The next prime is 125378516623. The reversal of 125378516601 is 106615873521.

125378516601 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 78 + 516 + 60 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (125378516579) and next prime (125378516623).

It can be written as a sum of positive squares in 2 ways, for example, as 6336956025 + 119041560576 = 79605^2 + 345024^2 .

It is not a de Polignac number, because 125378516601 - 2⁹ = 125378516089 is a prime.

It is a super-3 number, since 3×125378516601³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (125378516201) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59532906 + ... + 59535011.

Almost surely, 2^125378516601 is an apocalyptic number.

It is an amenable number.

125378516601 is a deficient number, since it is larger than the sum of its proper divisors (76322536491).

125378516601 is a wasteful number, since it uses less digits than its factorization.

125378516601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119067942 (or 119067933 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 125378516601 in words is "one hundred twenty-five billion, three hundred seventy-eight million, five hundred sixteen thousand, six hundred one".