125000001 has 36 divisors (see below), whose sum is σ = 209506752. Its totient is φ = 70349472.

The previous prime is 124999991. The next prime is 125000003. The reversal of 125000001 is 100000521.

It is a happy number.

It is a Cunningham number, because it is equal to 500³+1.

It is not a de Polignac number, because 125000001 - 2⁵ = 124999969 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125000003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 748420 + ... + 748586.

It is an arithmetic number, because the mean of its divisors is an integer number (5819632).

Almost surely, 2^125000001 is an apocalyptic number.

It is an amenable number.

125000001 is a deficient number, since it is larger than the sum of its proper divisors (84506751).

125000001 is a wasteful number, since it uses less digits than its factorization.

125000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 286 counting only the distinct ones).

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

The square root of 125000001 is about 11180.3399322203. The cubic root of 125000001 is about 500.0000013333. Note that the first 5 decimals are identical.

Adding to 125000001 its reverse (100000521), we get a palindrome (225000522).

The spelling of 125000001 in words is "one hundred twenty-five million, one", and thus it is an aban number.