826264131 has 64 divisors (see below), whose sum is σ = 1419801600. Its totient is φ = 414927360.

The previous prime is 826264099. The next prime is 826264157. The reversal of 826264131 is 131462628.

It is not a de Polignac number, because 826264131 - 2⁵ = 826264099 is a prime.

It is a super-2 number, since 2×826264131² = 1365424828354370322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 826264092 and 826264101.

It is not an unprimeable number, because it can be changed into a prime (826264171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2367345 + ... + 2367693.

It is an arithmetic number, because the mean of its divisors is an integer number (22184400).

Almost surely, 2^826264131 is an apocalyptic number.

826264131 is a deficient number, since it is larger than the sum of its proper divisors (593537469).

826264131 is a wasteful number, since it uses less digits than its factorization.

826264131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684.

The product of its digits is 13824, while the sum is 33.

The square root of 826264131 is about 28744.8105055504. The cubic root of 826264131 is about 938.3675192656.

The spelling of 826264131 in words is "eight hundred twenty-six million, two hundred sixty-four thousand, one hundred thirty-one".