1516591 has 2 divisors, whose sum is σ = 1516592. Its totient is φ = 1516590.

The previous prime is 1516589. The next prime is 1516607. The reversal of 1516591 is 1956151.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 1516591 - 2¹ = 1516589 is a prime.

It is a super-2 number, since 2×1516591² = 4600096522562, which contains 22 as substring.

Together with 1516589, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1516531) 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, 758295 + 758296.

It is an arithmetic number, because the mean of its divisors is an integer number (758296).

2^1516591 is an apocalyptic number.

1516591 is a deficient number, since it is larger than the sum of its proper divisors (1).

1516591 is an equidigital number, since it uses as much as digits as its factorization.

1516591 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1350, while the sum is 28.

The square root of 1516591 is about 1231.4994924887. The cubic root of 1516591 is about 114.8919211419.

It can be divided in two parts, 15 and 16591, that multiplied together give a triangular number (248865 = T₇₀₅).

The spelling of 1516591 in words is "one million, five hundred sixteen thousand, five hundred ninety-one".