826828308601 has 3 divisors (see below), whose sum is σ = 826829217903. Its totient is φ = 826827399300.

The previous prime is 826828308547. The next prime is 826828308629. The reversal of 826828308601 is 106803828628.

The square root of 826828308601 is 909301.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 809102049001 + 17726259600 = 899501^2 + 133140^2 .

It is not a de Polignac number, because 826828308601 - 2⁷ = 826828308473 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (826828308641) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 454651 + ... + 1363951.

It is an arithmetic number, because the mean of its divisors is an integer number (275609739301).

Almost surely, 2^826828308601 is an apocalyptic number.

826828308601 is the 909301-st square number.

826828308601 is the 454651-st centered octagonal number.

It is an amenable number.

826828308601 is a deficient number, since it is larger than the sum of its proper divisors (909302).

826828308601 is an frugal number, since it uses more digits than its factorization.

826828308601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1818602 (or 909301 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 52.

The spelling of 826828308601 in words is "eight hundred twenty-six billion, eight hundred twenty-eight million, three hundred eight thousand, six hundred one".