25210 has 8 divisors (see below), whose sum is σ = 45396. Its totient is φ = 10080.

The previous prime is 25189. The next prime is 25219. The reversal of 25210 is 1252.

It can be written as a sum of positive squares in 2 ways, for example, as 20449 + 4761 = 143^2 + 69^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Harshad number since it is a multiple of its sum of digits (10), and also a Moran number because the ratio is a prime number: 2521 = 25210 / (2 + 5 + 2 + 1 + 0).

It is an alternating number because its digits alternate between even and odd.

It is a plaindrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (25219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1251 + ... + 1270.

2²⁵²¹⁰ is an apocalyptic number.

25210 is a deficient number, since it is larger than the sum of its proper divisors (20186).

25210 is a wasteful number, since it uses less digits than its factorization.

25210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528.

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 25210 is about 158.7765725792. The cubic root of 25210 is about 29.3218216997.

Subtracting from 25210 its sum of digits (10), we obtain a triangular number (25200 = T₂₂₄).

Adding to 25210 its reverse (1252), we get a palindrome (26462).

It can be divided in two parts, 252 and 10, that added together give a palindrome (262).

The spelling of 25210 in words is "twenty-five thousand, two hundred ten".