2590013 has 2 divisors, whose sum is σ = 2590014. Its totient is φ = 2590012.

The previous prime is 2589991. The next prime is 2590031. The reversal of 2590013 is 3100952.

Together with next prime (2590031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2316484 + 273529 = 1522^2 + 523^2 .

It is a cyclic number.

It is not a de Polignac number, because 2590013 - 2¹⁶ = 2524477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2590033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1295006 + 1295007.

It is an arithmetic number, because the mean of its divisors is an integer number (1295007).

2^2590013 is an apocalyptic number.

It is an amenable number.

2590013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2590013 is an equidigital number, since it uses as much as digits as its factorization.

2590013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 2590013 is about 1609.3517328415. The cubic root of 2590013 is about 137.3305990962.

Adding to 2590013 its reverse (3100952), we get a palindrome (5690965).

The spelling of 2590013 in words is "two million, five hundred ninety thousand, thirteen".