85402257228261 has 12 divisors (see below), whose sum is σ = 123371077216140. Its totient is φ = 56929179127680.

The previous prime is 85402257228259. The next prime is 85402257228311. The reversal of 85402257228261 is 16282275220458.

85402257228261 is a `hidden beast` number, since 8 + 5 + 4 + 0 + 2 + 2 + 572 + 2 + 8 + 2 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70257823416036 + 15144433812225 = 8381994^2 + 3891585^2 .

It is not a de Polignac number, because 85402257228261 - 2¹ = 85402257228259 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85402257228198 and 85402257228207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85402257228241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471489796 + ... + 471670893.

It is an arithmetic number, because the mean of its divisors is an integer number (10280923101345).

Almost surely, 2^{85402257228261} is an apocalyptic number.

It is an amenable number.

85402257228261 is a deficient number, since it is larger than the sum of its proper divisors (37968819987879).

85402257228261 is a wasteful number, since it uses less digits than its factorization.

85402257228261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943170756 (or 943170753 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 85402257228261 in words is "eighty-five trillion, four hundred two billion, two hundred fifty-seven million, two hundred twenty-eight thousand, two hundred sixty-one".