5261823000 has 480 divisors, whose sum is σ = 21596009760. Its totient is φ = 1131955200.

The previous prime is 5261822989. The next prime is 5261823013. The reversal of 5261823000 is 3281625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 309518992 + ... + 309519008.

It is an arithmetic number, because the mean of its divisors is an integer number (44991687).

Almost surely, 2^5261823000 is an apocalyptic number.

5261823000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5261823000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10798004880).

5261823000 is an abundant number, since it is smaller than the sum of its proper divisors (16334186760).

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

5261823000 is an equidigital number, since it uses as much as digits as its factorization.

5261823000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5261823000 is about 72538.4243005044. The cubic root of 5261823000 is about 1739.3170129628.

The spelling of 5261823000 in words is "five billion, two hundred sixty-one million, eight hundred twenty-three thousand".