2523261 has 32 divisors (see below), whose sum is σ = 3951360. Its totient is φ = 1419264.

The previous prime is 2523251. The next prime is 2523317. The reversal of 2523261 is 1623252.

It is not a de Polignac number, because 2523261 - 2⁵ = 2523229 is a prime.

2523261 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25965 + ... + 26061.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

2^2523261 is an apocalyptic number.

It is an amenable number.

2523261 is a deficient number, since it is larger than the sum of its proper divisors (1428099).

2523261 is a wasteful number, since it uses less digits than its factorization.

2523261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165.

The product of its digits is 720, while the sum is 21.

The square root of 2523261 is about 1588.4775730239. The cubic root of 2523261 is about 136.1405158123.

Subtracting from 2523261 its reverse (1623252), we obtain a palindrome (900009).

It can be divided in two parts, 2523 and 261, that multiplied together give a cube (658503 = 87³).

The spelling of 2523261 in words is "two million, five hundred twenty-three thousand, two hundred sixty-one".