5201001936 has 480 divisors, whose sum is σ = 17548876800. Its totient is φ = 1423319040.

The previous prime is 5201001907. The next prime is 5201001941. The reversal of 5201001936 is 6391001025.

5201001936 is a `hidden beast` number, since 520 + 100 + 1 + 9 + 36 = 666.

It is a super-2 number, since 2×5201001936² = 54100842276551496192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58438180 + ... + 58438268.

It is an arithmetic number, because the mean of its divisors is an integer number (36560160).

Almost surely, 2^5201001936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5201001936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774438400).

5201001936 is an abundant number, since it is smaller than the sum of its proper divisors (12347874864).

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

5201001936 is a wasteful number, since it uses less digits than its factorization.

5201001936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 5201001936 is about 72117.9723508641. The cubic root of 5201001936 is about 1732.5894748365.

The spelling of 5201001936 in words is "five billion, two hundred one million, one thousand, nine hundred thirty-six".