2538953 has 2 divisors, whose sum is σ = 2538954. Its totient is φ = 2538952.

The previous prime is 2538919. The next prime is 2538959. The reversal of 2538953 is 3598352.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2534464 + 4489 = 1592^2 + 67^2 .

It is a cyclic number.

It is not a de Polignac number, because 2538953 - 2¹⁸ = 2276809 is a prime.

It is a Sophie Germain prime.

It is a d-powerful number, because it can be written as 2²⁰ + 5⁸ + 3³ + 8³ + 9⁶ + 5⁸ + 3¹¹ .

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2538959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1269476 + 1269477.

It is an arithmetic number, because the mean of its divisors is an integer number (1269477).

2^2538953 is an apocalyptic number.

It is an amenable number.

2538953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2538953 is an equidigital number, since it uses as much as digits as its factorization.

2538953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 32400, while the sum is 35.

The square root of 2538953 is about 1593.4092380804. The cubic root of 2538953 is about 136.4221492054.

Adding to 2538953 its product of digits (32400), we get a cube (2571353 = 137³).

The spelling of 2538953 in words is "two million, five hundred thirty-eight thousand, nine hundred fifty-three".