5825528100 has 360 divisors, whose sum is σ = 21778606080. Its totient is φ = 1319431680.

The previous prime is 5825528099. The next prime is 5825528141. The reversal of 5825528100 is 18255285.

5825528100 is a `hidden beast` number, since 5 + 8 + 25 + 528 + 100 = 666.

It is a super-2 number, since 2×5825528100² = 67873555287779220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7200496 + ... + 7201304.

It is an arithmetic number, because the mean of its divisors is an integer number (60496128).

Almost surely, 2^5825528100 is an apocalyptic number.

5825528100 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 5825528100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10889303040).

5825528100 is an abundant number, since it is smaller than the sum of its proper divisors (15953077980).

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

5825528100 is a wasteful number, since it uses less digits than its factorization.

5825528100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 5825528100 is about 76325.1472320886. The cubic root of 5825528100 is about 1799.3339202180. Note that the first 3 decimals are identical.

The spelling of 5825528100 in words is "five billion, eight hundred twenty-five million, five hundred twenty-eight thousand, one hundred".