10025001 has 24 divisors (see below), whose sum is σ = 16645824. Its totient is φ = 5695200.

The previous prime is 10024979. The next prime is 10025011. The reversal of 10025001 is 10052001.

It is a happy number.

It is not a de Polignac number, because 10025001 - 2⁵ = 10024969 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10025011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13951 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (693576).

Almost surely, 2^10025001 is an apocalyptic number.

It is an amenable number.

10025001 is a deficient number, since it is larger than the sum of its proper divisors (6620823).

10025001 is a wasteful number, since it uses less digits than its factorization.

10025001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 938 counting only the distinct ones).

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

The square root of 10025001 is about 3166.2281977141. The cubic root of 10025001 is about 215.6228629908.

Adding to 10025001 its reverse (10052001), we get a palindrome (20077002).

Subtracting 10025001 from its reverse (10052001), we obtain a cube (27000 = 30³).

The spelling of 10025001 in words is "ten million, twenty-five thousand, one".