5205217248 has 192 divisors, whose sum is σ = 18928304640. Its totient is φ = 1351987200.

The previous prime is 5205217229. The next prime is 5205217261. The reversal of 5205217248 is 8427125025.

It is a happy number.

5205217248 is a `hidden beast` number, since 5 + 20 + 521 + 72 + 48 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27408 + ... + 105648.

It is an arithmetic number, because the mean of its divisors is an integer number (98584920).

Almost surely, 2^5205217248 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 5205217248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9464152320).

5205217248 is an abundant number, since it is smaller than the sum of its proper divisors (13723087392).

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

5205217248 is a wasteful number, since it uses less digits than its factorization.

5205217248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78278 (or 78264 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 5205217248 is about 72147.1915461718. The cubic root of 5205217248 is about 1733.0574252489.

The spelling of 5205217248 in words is "five billion, two hundred five million, two hundred seventeen thousand, two hundred forty-eight".