827503705053 has 12 divisors (see below), whose sum is σ = 1195431001180. Its totient is φ = 551600888256.

The previous prime is 827503705033. The next prime is 827503705079. The reversal of 827503705053 is 350507305728.

827503705053 is a `hidden beast` number, since 8 + 2 + 75 + 0 + 3 + 70 + 505 + 3 = 666.

827503705053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 100009002564 + 727494702489 = 316242^2 + 852933^2 .

It is not a de Polignac number, because 827503705053 - 2¹⁰ = 827503704029 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827503705003) 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, 5610526 + ... + 5756127.

Almost surely, 2^827503705053 is an apocalyptic number.

It is an amenable number.

827503705053 is a deficient number, since it is larger than the sum of its proper divisors (367927296127).

827503705053 is a wasteful number, since it uses less digits than its factorization.

827503705053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11374748 (or 11374745 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 827503705053 in words is "eight hundred twenty-seven billion, five hundred three million, seven hundred five thousand, fifty-three".