261116519 has 2 divisors, whose sum is σ = 261116520. Its totient is φ = 261116518.

The previous prime is 261116507. The next prime is 261116521. The reversal of 261116519 is 915611162.

261116519 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 261116519 - 2¹⁶ = 261050983 is a prime.

It is a super-2 number, since 2×261116519² = 136363672989354722, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 261116521, 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 (261116579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130558259 + 130558260.

It is an arithmetic number, because the mean of its divisors is an integer number (130558260).

Almost surely, 2^261116519 is an apocalyptic number.

261116519 is a deficient number, since it is larger than the sum of its proper divisors (1).

261116519 is an equidigital number, since it uses as much as digits as its factorization.

261116519 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3240, while the sum is 32.

The square root of 261116519 is about 16159.1001915329. The cubic root of 261116519 is about 639.1627389773.

The spelling of 261116519 in words is "two hundred sixty-one million, one hundred sixteen thousand, five hundred nineteen".