25031 has 2 divisors, whose sum is σ = 25032. Its totient is φ = 25030.

The previous prime is 25013. The next prime is 25033. The reversal of 25031 is 13052.

Together with previous prime (25013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 25031 - 2⁶ = 24967 is a prime.

It is a super-2 number, since 2×25031² = 1253101922, which contains 22 as substring.

Together with 25033, it forms a pair of twin primes.

It is a Chen prime.

It is a plaindrome in base 12.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 25031.

It is not a weakly prime, because it can be changed into another prime (25033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12515 + 12516.

It is an arithmetic number, because the mean of its divisors is an integer number (12516).

2²⁵⁰³¹ is an apocalyptic number.

25031 is a deficient number, since it is larger than the sum of its proper divisors (1).

25031 is an equidigital number, since it uses as much as digits as its factorization.

25031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 25031 is about 158.2118832452. The cubic root of 25031 is about 29.2522583300.

Adding to 25031 its reverse (13052), we get a palindrome (38083).

It can be divided in two parts, 250 and 31, that multiplied together give a triangular number (7750 = T₁₂₄).

The spelling of 25031 in words is "twenty-five thousand, thirty-one".