2501591 has 2 divisors, whose sum is σ = 2501592. Its totient is φ = 2501590.

The previous prime is 2501573. The next prime is 2501593. The reversal of 2501591 is 1951052.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 2501591 - 2¹⁴ = 2485207 is a prime.

Together with 2501593, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2501593) 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, 1250795 + 1250796.

It is an arithmetic number, because the mean of its divisors is an integer number (1250796).

2^2501591 is an apocalyptic number.

2501591 is a deficient number, since it is larger than the sum of its proper divisors (1).

2501591 is an equidigital number, since it uses as much as digits as its factorization.

2501591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 2501591 is about 1581.6418684392. The cubic root of 2501591 is about 135.7496656472.

The spelling of 2501591 in words is "two million, five hundred one thousand, five hundred ninety-one".