25213 has 4 divisors (see below), whose sum is σ = 26560. Its totient is φ = 23868.

The previous prime is 25189. The next prime is 25219. The reversal of 25213 is 31252.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 25213 - 2¹³ = 17021 is a prime.

It is an Ulam number.

It is a Duffinian number.

25213 is a lucky number.

It is a plaindrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 25193 and 25202.

It is a congruent number.

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, 645 + ... + 682.

It is an arithmetic number, because the mean of its divisors is an integer number (6640).

2²⁵²¹³ is an apocalyptic number.

It is an amenable number.

25213 is a deficient number, since it is larger than the sum of its proper divisors (1347).

25213 is a wasteful number, since it uses less digits than its factorization.

25213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1346.

The product of its digits is 60, while the sum is 13.

The square root of 25213 is about 158.7860195357. The cubic root of 25213 is about 29.3229847563.

Subtracting from 25213 its sum of digits (13), we obtain a triangular number (25200 = T₂₂₄).

Adding to 25213 its reverse (31252), we get a palindrome (56465).

The spelling of 25213 in words is "twenty-five thousand, two hundred thirteen".