825535788100 has 81 divisors (see below), whose sum is σ = 1834910665623. Its totient is φ = 322382269440.

The previous prime is 825535788089. The next prime is 825535788107. The reversal of 825535788100 is 1887535528.

The square root of 825535788100 is 908590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 503756418564 + 321779369536 = 709758^2 + 567256^2 .

It is a super-2 number, since 2×825535788100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825535788107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 390692644 + ... + 390694756.

Almost surely, 2^825535788100 is an apocalyptic number.

825535788100 is the 908590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 825535788100

825535788100 is an abundant number, since it is smaller than the sum of its proper divisors (1009374877523).

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

825535788100 is an equidigital number, since it uses as much as digits as its factorization.

825535788100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 52.

The spelling of 825535788100 in words is "eight hundred twenty-five billion, five hundred thirty-five million, seven hundred eighty-eight thousand, one hundred".