125001 has 24 divisors (see below), whose sum is σ = 205920. Its totient is φ = 72576.

The previous prime is 124991. The next prime is 125003. The reversal of 125001 is 100521.

It is a happy number.

It is a Cunningham number, because it is equal to 50³+1.

It is not a de Polignac number, because 125001 - 2⁹ = 124489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (125003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2886 + ... + 2928.

It is an arithmetic number, because the mean of its divisors is an integer number (8580).

125001 is a Friedman number, since it can be written as 50^(2+1+0)+1, using all its digits and the basic arithmetic operations.

2¹²⁵⁰⁰¹ is an apocalyptic number.

It is an amenable number.

125001 is a deficient number, since it is larger than the sum of its proper divisors (80919).

125001 is a wasteful number, since it uses less digits than its factorization.

125001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 125001 is about 353.5548048040. The cubic root of 125001 is about 50.0001333330. Note that the first 3 decimals are identical.

Adding to 125001 its reverse (100521), we get a palindrome (225522).

The spelling of 125001 in words is "one hundred twenty-five thousand, one".