827986257461 has 8 divisors (see below), whose sum is σ = 903295108800. Its totient is φ = 752683635040.

The previous prime is 827986257457. The next prime is 827986257491. The reversal of 827986257461 is 164752689728.

827986257461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 827986257461 - 2² = 827986257457 is a prime.

It is a super-2 number, since 2×827986257461² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827986257401) 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, 1277096 + ... + 1812993.

It is an arithmetic number, because the mean of its divisors is an integer number (112911888600).

Almost surely, 2^827986257461 is an apocalyptic number.

It is an amenable number.

827986257461 is a deficient number, since it is larger than the sum of its proper divisors (75308851339).

827986257461 is a wasteful number, since it uses less digits than its factorization.

827986257461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114459.

The product of its digits is 81285120, while the sum is 65.

The spelling of 827986257461 in words is "eight hundred twenty-seven billion, nine hundred eighty-six million, two hundred fifty-seven thousand, four hundred sixty-one".