85209293529 has 24 divisors (see below), whose sum is σ = 127635697800. Its totient is φ = 54713191680.

The previous prime is 85209293501. The next prime is 85209293551. The reversal of 85209293529 is 92539290258.

85209293529 is a `hidden beast` number, since 8 + 5 + 20 + 9 + 2 + 93 + 529 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 53304189129 + 31905104400 = 230877^2 + 178620^2 .

It is not a de Polignac number, because 85209293529 - 2⁹ = 85209293017 is a prime.

It is a super-2 number, since 2×85209293529² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85209293129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 292362 + ... + 505859.

It is an arithmetic number, because the mean of its divisors is an integer number (5318154075).

Almost surely, 2^85209293529 is an apocalyptic number.

It is an amenable number.

85209293529 is a deficient number, since it is larger than the sum of its proper divisors (42426404271).

85209293529 is a wasteful number, since it uses less digits than its factorization.

85209293529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798665 (or 798662 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 85209293529 in words is "eighty-five billion, two hundred nine million, two hundred ninety-three thousand, five hundred twenty-nine".