85761461759 has 2 divisors, whose sum is σ = 85761461760. Its totient is φ = 85761461758.

The previous prime is 85761461749. The next prime is 85761461801. The reversal of 85761461759 is 95716416758.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 85761461759 - 2⁴ = 85761461743 is a prime.

It is a super-3 number, since 3×85761461759³ (a number of 34 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 85761461698 and 85761461707.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (85761461749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42880730879 + 42880730880.

It is an arithmetic number, because the mean of its divisors is an integer number (42880730880).

Almost surely, 2^85761461759 is an apocalyptic number.

85761461759 is a deficient number, since it is larger than the sum of its proper divisors (1).

85761461759 is an equidigital number, since it uses as much as digits as its factorization.

85761461759 is an evil number, because the sum of its binary digits is even.

The product of its digits is 12700800, while the sum is 59.

The spelling of 85761461759 in words is "eighty-five billion, seven hundred sixty-one million, four hundred sixty-one thousand, seven hundred fifty-nine".