2582753 has 2 divisors, whose sum is σ = 2582754. Its totient is φ = 2582752.

The previous prime is 2582737. The next prime is 2582761. The reversal of 2582753 is 3572852.

2582753 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2521744 + 61009 = 1588^2 + 247^2 .

It is a cyclic number.

It is not a de Polignac number, because 2582753 - 2⁴ = 2582737 is a prime.

It is a super-2 number, since 2×2582753² = 13341226118018, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2582773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1291376 + 1291377.

It is an arithmetic number, because the mean of its divisors is an integer number (1291377).

2^2582753 is an apocalyptic number.

It is an amenable number.

2582753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582753 is an equidigital number, since it uses as much as digits as its factorization.

2582753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 16800, while the sum is 32.

The square root of 2582753 is about 1607.0945834020. The cubic root of 2582753 is about 137.2021630385.

Subtracting 2582753 from its reverse (3572852), we obtain a palindrome (990099).

The spelling of 2582753 in words is "two million, five hundred eighty-two thousand, seven hundred fifty-three".