826448513 has 16 divisors (see below), whose sum is σ = 920106432. Its totient is φ = 742165600.

The previous prime is 826448503. The next prime is 826448533. The reversal of 826448513 is 315844628.

It is not a de Polignac number, because 826448513 - 2¹⁸ = 826186369 is a prime.

It is a super-2 number, since 2×826448513² = 1366034289279822338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (826448503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106733 + ... + 114213.

It is an arithmetic number, because the mean of its divisors is an integer number (57506652).

Almost surely, 2^826448513 is an apocalyptic number.

826448513 is a gapful number since it is divisible by the number (83) formed by its first and last digit.

It is an amenable number.

826448513 is a deficient number, since it is larger than the sum of its proper divisors (93657919).

826448513 is an equidigital number, since it uses as much as digits as its factorization.

826448513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7597 (or 7575 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 826448513 is about 28748.0175490415. The cubic root of 826448513 is about 938.4373134171.

The spelling of 826448513 in words is "eight hundred twenty-six million, four hundred forty-eight thousand, five hundred thirteen".