85751328769 has 2 divisors, whose sum is σ = 85751328770. Its totient is φ = 85751328768.

The previous prime is 85751328739. The next prime is 85751328799. The reversal of 85751328769 is 96782315758.

It is a balanced prime because it is at equal distance from previous prime (85751328739) and next prime (85751328799).

It can be written as a sum of positive squares in only one way, i.e., 81856071025 + 3895257744 = 286105^2 + 62412^2 .

It is a cyclic number.

It is not a de Polignac number, because 85751328769 - 2²⁹ = 85214457857 is a prime.

It is a super-2 number, since 2×85751328769² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (85751328739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 42875664384 + 42875664385.

It is an arithmetic number, because the mean of its divisors is an integer number (42875664385).

Almost surely, 2^85751328769 is an apocalyptic number.

It is an amenable number.

85751328769 is a deficient number, since it is larger than the sum of its proper divisors (1).

85751328769 is an equidigital number, since it uses as much as digits as its factorization.

85751328769 is an evil number, because the sum of its binary digits is even.

The product of its digits is 25401600, while the sum is 61.

The spelling of 85751328769 in words is "eighty-five billion, seven hundred fifty-one million, three hundred twenty-eight thousand, seven hundred sixty-nine".