2025090001 has 9 divisors (see below), whose sum is σ = 2226469609. Its totient is φ = 1840540900.

The previous prime is 2025089959. The next prime is 2025090019. The reversal of 2025090001 is 1000905202.

The square root of 2025090001 is 45001.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 2025090001 - 2²⁷ = 1890872273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2025090601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 492966 + ... + 497056.

Almost surely, 2^2025090001 is an apocalyptic number.

2025090001 is the 45001-st square number.

2025090001 is the 22501-st centered octagonal number.

It is an amenable number.

2025090001 is a deficient number, since it is larger than the sum of its proper divisors (201379608).

2025090001 is an frugal number, since it uses more digits than its factorization.

2025090001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8204 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The cubic root of 2025090001 is about 1265.1677408313.

Adding to 2025090001 its reverse (1000905202), we get a palindrome (3025995203).

The spelling of 2025090001 in words is "two billion, twenty-five million, ninety thousand, one".