2523 has 6 divisors (see below), whose sum is σ = 3484. Its totient is φ = 1624.

The previous prime is 2521. The next prime is 2531. The reversal of 2523 is 3252.

It is not a de Polignac number, because 2523 - 2^{1} = 2521 is a prime.

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

It is a Duffinian number.

2523 is a lucky number.

It is a nialpdrome in base 14 and base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 2499 and 2508.

It is not an unprimeable number, because it can be changed into a prime (2521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73 + ... + 101.

2523 is a deficient number, since it is larger than the sum of its proper divisors (961).

2523 is an equidigital number, since it uses as much as digits as its factorization.

2523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 32 counting only the distinct ones).

The product of its digits is 60, while the sum is 12.

The square root of 2523 is about 50.2294734195. The cubic root of 2523 is about 13.6135821635.

Multiplying 2523 by its sum of digits (12), we get a square (30276 = 174^{2}).

Adding to 2523 its reverse (3252), we get a palindrome (5775).

Subtracting 2523 from its reverse (3252), we obtain a 6-th power (729 = 3^{6}).

It can be divided in two parts, 25 and 23, that multiplied together give a palindrome (575).

The spelling of 2523 in words is "two thousand, five hundred twenty-three".

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.069 sec. • engine limits •