827067051 has 64 divisors (see below), whose sum is σ = 1365120000. Its totient is φ = 492231168.

The previous prime is 827067013. The next prime is 827067061. The reversal of 827067051 is 150760728.

It is not a de Polignac number, because 827067051 - 2⁷ = 827066923 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 827066997 and 827067015.

It is not an unprimeable number, because it can be changed into a prime (827067061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1657200 + ... + 1657698.

It is an arithmetic number, because the mean of its divisors is an integer number (21330000).

Almost surely, 2^827067051 is an apocalyptic number.

827067051 is a deficient number, since it is larger than the sum of its proper divisors (538052949).

827067051 is a wasteful number, since it uses less digits than its factorization.

827067051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 699 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 827067051 is about 28758.7734613283. The cubic root of 827067051 is about 938.6713729216.

The spelling of 827067051 in words is "eight hundred twenty-seven million, sixty-seven thousand, fifty-one".