5065168900 has 81 divisors (see below), whose sum is σ = 12100176277. Its totient is φ = 1839032800.

The previous prime is 5065168877. The next prime is 5065168931. The reversal of 5065168900 is 98615605.

The square root of 5065168900 is 71170.

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

It can be written as a sum of positive squares in only one way, i.e., 1823460804 + 3241708096 = 42702^2 + 56936^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7828377 + ... + 7829023.

Almost surely, 2^5065168900 is an apocalyptic number.

5065168900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5065168900 is the 71170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5065168900

5065168900 is an abundant number, since it is smaller than the sum of its proper divisors (7035007377).

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

5065168900 is a wasteful number, since it uses less digits than its factorization.

5065168900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The cubic root of 5065168900 is about 1717.3730518420.

The spelling of 5065168900 in words is "five billion, sixty-five million, one hundred sixty-eight thousand, nine hundred".