85268088049 has 9 divisors (see below), whose sum is σ = 86706953931. Its totient is φ = 83852730120.

The previous prime is 85268088047. The next prime is 85268088091. The reversal of 85268088049 is 94088086258.

The square root of 85268088049 is 292007.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2772759649 + 82495328400 = 52657^2 + 287220^2 .

It is not a de Polignac number, because 85268088049 - 2¹ = 85268088047 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85268087984 and 85268088002.

It is not an unprimeable number, because it can be changed into a prime (85268088043) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17810034 + ... + 17814820.

Almost surely, 2^85268088049 is an apocalyptic number.

85268088049 is the 292007-th square number.

85268088049 is the 146004-th centered octagonal number.

It is an amenable number.

85268088049 is a deficient number, since it is larger than the sum of its proper divisors (1438865882).

85268088049 is an frugal number, since it uses more digits than its factorization.

85268088049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9696 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 58.

The spelling of 85268088049 in words is "eighty-five billion, two hundred sixty-eight million, eighty-eight thousand, forty-nine".