827121062801 has 8 divisors (see below), whose sum is σ = 902855186784. Its totient is φ = 751477155520.

The previous prime is 827121062791. The next prime is 827121062863. The reversal of 827121062801 is 108260121728.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-827121062801 is a prime.

It is a super-3 number, since 3×827121062801³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (827121062891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22535000 + ... + 22571673.

It is an arithmetic number, because the mean of its divisors is an integer number (112856898348).

Almost surely, 2^827121062801 is an apocalyptic number.

It is an amenable number.

827121062801 is a deficient number, since it is larger than the sum of its proper divisors (75734123983).

827121062801 is a wasteful number, since it uses less digits than its factorization.

827121062801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45108351.

The product of its (nonzero) digits is 21504, while the sum is 38.

The spelling of 827121062801 in words is "eight hundred twenty-seven billion, one hundred twenty-one million, sixty-two thousand, eight hundred one".