826109331 has 16 divisors (see below), whose sum is σ = 1152812544. Its totient is φ = 525216384.

The previous prime is 826109329. The next prime is 826109413. The reversal of 826109331 is 133901628.

It is not a de Polignac number, because 826109331 - 2¹ = 826109329 is a prime.

It is a super-2 number, since 2×826109331² = 1364913253530535122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 826109292 and 826109301.

It is not an unprimeable number, because it can be changed into a prime (826109311) 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 15 ways as a sum of consecutive naturals, for example, 5490 + ... + 41016.

It is an arithmetic number, because the mean of its divisors is an integer number (72050784).

Almost surely, 2^826109331 is an apocalyptic number.

826109331 is a deficient number, since it is larger than the sum of its proper divisors (326703213).

826109331 is a wasteful number, since it uses less digits than its factorization.

826109331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35890.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 826109331 is about 28742.1177194722. The cubic root of 826109331 is about 938.3089147755.

The spelling of 826109331 in words is "eight hundred twenty-six million, one hundred nine thousand, three hundred thirty-one".