2582053 has 2 divisors, whose sum is σ = 2582054. Its totient is φ = 2582052.

The previous prime is 2582033. The next prime is 2582059. The reversal of 2582053 is 3502852.

2582053 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., 2304324 + 277729 = 1518^2 + 527^2 .

It is a cyclic number.

It is not a de Polignac number, because 2582053 - 2⁹ = 2581541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2582059) 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, 1291026 + 1291027.

It is an arithmetic number, because the mean of its divisors is an integer number (1291027).

2^2582053 is an apocalyptic number.

It is an amenable number.

2582053 is a deficient number, since it is larger than the sum of its proper divisors (1).

2582053 is an equidigital number, since it uses as much as digits as its factorization.

2582053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2582053 is about 1606.8767843242. The cubic root of 2582053 is about 137.1897666806.

It can be divided in two parts, 25 and 82053, that multiplied together give a triangular number (2051325 = T₂₀₂₅).

The spelling of 2582053 in words is "two million, five hundred eighty-two thousand, fifty-three".