826315728421263 has 32 divisors (see below), whose sum is σ = 1136310176526336. Its totient is φ = 533726352580608.

The previous prime is 826315728421223. The next prime is 826315728421303. The reversal of 826315728421263 is 362124827513628.

It is a happy number.

It is a Cunningham number, because it is equal to 28745708²-1.

It is an interprime number because it is at equal distance from previous prime (826315728421223) and next prime (826315728421303).

It is not a de Polignac number, because 826315728421263 - 2¹⁶ = 826315728355727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 826315728421197 and 826315728421206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (826315728421223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81446170 + ... + 91028072.

It is an arithmetic number, because the mean of its divisors is an integer number (35509693016448).

Almost surely, 2^{826315728421263} is an apocalyptic number.

826315728421263 is a deficient number, since it is larger than the sum of its proper divisors (309994448105073).

826315728421263 is a wasteful number, since it uses less digits than its factorization.

826315728421263 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9585223.

The product of its digits is 46448640, while the sum is 60.

The spelling of 826315728421263 in words is "eight hundred twenty-six trillion, three hundred fifteen billion, seven hundred twenty-eight million, four hundred twenty-one thousand, two hundred sixty-three".