125601 has 8 divisors (see below), whose sum is σ = 191424. Its totient is φ = 71760.

The previous prime is 125597. The next prime is 125617. The reversal of 125601 is 106521.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 125601 - 2² = 125597 is a prime.

It is a super-2 number, since 2×125601² = 31551222402, which contains 22 as substring.

It is a Curzon number.

125601 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (125621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2970 + ... + 3011.

It is an arithmetic number, because the mean of its divisors is an integer number (23928).

2¹²⁵⁶⁰¹ is an apocalyptic number.

It is an amenable number.

125601 is a deficient number, since it is larger than the sum of its proper divisors (65823).

125601 is an equidigital number, since it uses as much as digits as its factorization.

125601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5991.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 125601 is about 354.4023137622. The cubic root of 125601 is about 50.0800052483.

It can be divided in two parts, 12560 and 1, that added together give a triangular number (12561 = T₁₅₈).

The spelling of 125601 in words is "one hundred twenty-five thousand, six hundred one".