827962265101 has 8 divisors (see below), whose sum is σ = 888675051384. Its totient is φ = 768583825920.

The previous prime is 827962265087. The next prime is 827962265113. The reversal of 827962265101 is 101562269728.

It can be written as a sum of positive squares in 4 ways, for example, as 96764544900 + 731197720201 = 311070^2 + 855101^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 827962265101 - 2²⁵ = 827928710669 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 (827962265171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 333585490 + ... + 333587971.

It is an arithmetic number, because the mean of its divisors is an integer number (111084381423).

Almost surely, 2^827962265101 is an apocalyptic number.

It is an amenable number.

827962265101 is a deficient number, since it is larger than the sum of its proper divisors (60712786283).

827962265101 is a wasteful number, since it uses less digits than its factorization.

827962265101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667173551.

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 827962265101 in words is "eight hundred twenty-seven billion, nine hundred sixty-two million, two hundred sixty-five thousand, one hundred one".