826101152 has 48 divisors (see below), whose sum is σ = 1718690400. Its totient is φ = 389779200.

The previous prime is 826101151. The next prime is 826101193. The reversal of 826101152 is 251101628.

It is a super-3 number, since 3×826101152³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (826101151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161027 + ... + 166077.

It is an arithmetic number, because the mean of its divisors is an integer number (35806050).

Almost surely, 2^826101152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826101152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859345200).

826101152 is an abundant number, since it is smaller than the sum of its proper divisors (892589248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

826101152 is a wasteful number, since it uses less digits than its factorization.

826101152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 826101152 is about 28741.9754366327. The cubic root of 826101152 is about 938.3058181499.

The spelling of 826101152 in words is "eight hundred twenty-six million, one hundred one thousand, one hundred fifty-two".