85335252777 has 24 divisors (see below), whose sum is σ = 125984129544. Its totient is φ = 55640592384.

The previous prime is 85335252731. The next prime is 85335252811. The reversal of 85335252777 is 77725253358.

85335252777 is a `hidden beast` number, since 8 + 533 + 52 + 52 + 7 + 7 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 528494121 + 84806758656 = 22989^2 + 291216^2 .

It is not a de Polignac number, because 85335252777 - 2⁶ = 85335252713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85335252727) 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, 130968 + ... + 433385.

It is an arithmetic number, because the mean of its divisors is an integer number (5249338731).

Almost surely, 2^85335252777 is an apocalyptic number.

It is an amenable number.

85335252777 is a deficient number, since it is larger than the sum of its proper divisors (40648876767).

85335252777 is a wasteful number, since it uses less digits than its factorization.

85335252777 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564729 (or 564726 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 54.

The spelling of 85335252777 in words is "eighty-five billion, three hundred thirty-five million, two hundred fifty-two thousand, seven hundred seventy-seven".