20259001 has 9 divisors (see below), whose sum is σ = 23603301. Its totient is φ = 17337852.

The previous prime is 20258993. The next prime is 20259011. The reversal of 20259001 is 10095202.

The square root of 20259001 is 4501.

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

It is not a de Polignac number, because 20259001 - 2³ = 20258993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 20259001.

It is not an unprimeable number, because it can be changed into a prime (20259011) 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 8 ways as a sum of consecutive naturals, for example, 31186 + ... + 31828.

It is an arithmetic number, because the mean of its divisors is an integer number (2622589).

Almost surely, 2^20259001 is an apocalyptic number.

20259001 is the 4501-st square number.

20259001 is the 2251-st centered octagonal number.

It is an amenable number.

20259001 is a deficient number, since it is larger than the sum of its proper divisors (3344300).

20259001 is an frugal number, since it uses more digits than its factorization.

20259001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300 (or 650 counting only the distinct ones).

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

The cubic root of 20259001 is about 272.6084678870.

It can be divided in two parts, 2025 and 9001, that added together give a triangular number (11026 = T₁₄₈).

The spelling of 20259001 in words is "twenty million, two hundred fifty-nine thousand, one".