5205648100 has 18 divisors (see below), whose sum is σ = 11296256594. Its totient is φ = 2082259200.

The previous prime is 5205648083. The next prime is 5205648163. The reversal of 5205648100 is 18465025.

It can be written as a sum of positive squares in 3 ways, for example, as 1862958244 + 3342689856 = 43162^2 + 57816^2 .

It is a super-2 number, since 2×5205648100² = 54197544282067220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26028141 + ... + 26028340.

Almost surely, 2^5205648100 is an apocalyptic number.

5205648100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5205648100 is an abundant number, since it is smaller than the sum of its proper divisors (6090608494).

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

5205648100 is a wasteful number, since it uses less digits than its factorization.

5205648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52056495 (or 52056488 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 5205648100 is about 72150.1774079593. The cubic root of 5205648100 is about 1733.1052407784.

The spelling of 5205648100 in words is "five billion, two hundred five million, six hundred forty-eight thousand, one hundred".