125300601 has 40 divisors (see below), whose sum is σ = 192709440. Its totient is φ = 81106272.

The previous prime is 125300597. The next prime is 125300603. The reversal of 125300601 is 106003521.

125300601 is a `hidden beast` number, since 12 + 53 + 0 + 0 + 601 = 666.

It is not a de Polignac number, because 125300601 - 2² = 125300597 is a prime.

It is a super-2 number, since 2×125300601² = 31400481221922402, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (125300603) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 750220 + ... + 750386.

It is an arithmetic number, because the mean of its divisors is an integer number (4817736).

Almost surely, 2^125300601 is an apocalyptic number.

It is an amenable number.

125300601 is a deficient number, since it is larger than the sum of its proper divisors (67408839).

125300601 is a wasteful number, since it uses less digits than its factorization.

125300601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 125300601 is about 11193.7751004744. The cubic root of 125300601 is about 500.4004804785.

The spelling of 125300601 in words is "one hundred twenty-five million, three hundred thousand, six hundred one".