2501959 has 2 divisors, whose sum is σ = 2501960. Its totient is φ = 2501958.

The previous prime is 2501957. The next prime is 2501987. The reversal of 2501959 is 9591052.

2501959 = T₁₂₉₀ + T₁₂₉₁ + T₁₂₉₂.

2501959 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2501959 - 2¹ = 2501957 is a prime.

Together with 2501957, it forms a pair of twin primes.

It is equal to p₁₈₃₁₉₉ and since 2501959 and 183199 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2501959.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2501953) 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, 1250979 + 1250980.

It is an arithmetic number, because the mean of its divisors is an integer number (1250980).

2^2501959 is an apocalyptic number.

2501959 is the 1292-nd centered triangular number.

2501959 is a deficient number, since it is larger than the sum of its proper divisors (1).

2501959 is an equidigital number, since it uses as much as digits as its factorization.

2501959 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 2501959 is about 1581.7581989672. The cubic root of 2501959 is about 135.7563218682.

It can be divided in two parts, 250 and 1959, that added together give a square (2209 = 47²).

The spelling of 2501959 in words is "two million, five hundred one thousand, nine hundred fifty-nine".