827509242315 has 32 divisors (see below), whose sum is σ = 1528141556736. Its totient is φ = 374544489600.

The previous prime is 827509242289. The next prime is 827509242317. The reversal of 827509242315 is 513242905728.

It is not a de Polignac number, because 827509242315 - 2⁵ = 827509242283 is a prime.

It is a super-2 number, since 2×827509242315² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (827509242317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39004447 + ... + 39025656.

It is an arithmetic number, because the mean of its divisors is an integer number (47754423648).

Almost surely, 2^827509242315 is an apocalyptic number.

827509242315 is a deficient number, since it is larger than the sum of its proper divisors (700632314421).

827509242315 is a wasteful number, since it uses less digits than its factorization.

827509242315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78030219.

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 827509242315 in words is "eight hundred twenty-seven billion, five hundred nine million, two hundred forty-two thousand, three hundred fifteen".