827505855261 has 12 divisors (see below), whose sum is σ = 1197016036320. Its totient is φ = 550872200520.

The previous prime is 827505855251. The next prime is 827505855271. The reversal of 827505855261 is 162558505728.

827505855261 is a `hidden beast` number, since 8 + 2 + 7 + 5 + 0 + 585 + 52 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (827505855251) and next prime (827505855271).

It is not a de Polignac number, because 827505855261 - 2¹⁰ = 827505854237 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 827505855198 and 827505855207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827505855251) 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, 66524241 + ... + 66536678.

It is an arithmetic number, because the mean of its divisors is an integer number (99751336360).

Almost surely, 2^827505855261 is an apocalyptic number.

It is an amenable number.

827505855261 is a deficient number, since it is larger than the sum of its proper divisors (369510181059).

827505855261 is a wasteful number, since it uses less digits than its factorization.

827505855261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133061616 (or 133061613 counting only the distinct ones).

The product of its (nonzero) digits is 6720000, while the sum is 54.

The spelling of 827505855261 in words is "eight hundred twenty-seven billion, five hundred five million, eight hundred fifty-five thousand, two hundred sixty-one".