10001025 has 18 divisors (see below), whose sum is σ = 17913350. Its totient is φ = 5333760.

The previous prime is 10001009. The next prime is 10001053. The reversal of 10001025 is 52010001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1912689 + 8088336 = 1383^2 + 2844^2 .

It is not a de Polignac number, because 10001025 - 2⁴ = 10001009 is a prime.

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

10001025 is a modest number, since divided by 1025 gives 100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10000998 and 10001016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 22000 + ... + 22449.

Almost surely, 2^10001025 is an apocalyptic number.

10001025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10001025 is a deficient number, since it is larger than the sum of its proper divisors (7912325).

10001025 is a wasteful number, since it uses less digits than its factorization.

10001025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44465 (or 44457 counting only the distinct ones).

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

The square root of 10001025 is about 3162.4397227457. The cubic root of 10001025 is about 215.4508297369.

Adding to 10001025 its reverse (52010001), we get a palindrome (62011026).

It can be divided in two parts, 1000 and 1025, that added together give a square (2025 = 45²).

The spelling of 10001025 in words is "ten million, one thousand, twenty-five".