5086248552 has 288 divisors, whose sum is σ = 17951169600. Its totient is φ = 1320675840.

The previous prime is 5086248551. The next prime is 5086248553. The reversal of 5086248552 is 2558426805.

It is a happy number.

5086248552 is a `hidden beast` number, since 50 + 8 + 6 + 2 + 48 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (5086248551) and next prime (5086248553).

It is a junction number, because it is equal to n+sod(n) for n = 5086248498 and 5086248507.

It is not an unprimeable number, because it can be changed into a prime (5086248551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1645024 + ... + 1648112.

It is an arithmetic number, because the mean of its divisors is an integer number (62330450).

Almost surely, 2^5086248552 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 5086248552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8975584800).

5086248552 is an abundant number, since it is smaller than the sum of its proper divisors (12864921048).

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

5086248552 is a wasteful number, since it uses less digits than its factorization.

5086248552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5086248552 is about 71317.9399029445. The cubic root of 5086248552 is about 1719.7521447432.

The spelling of 5086248552 in words is "five billion, eighty-six million, two hundred forty-eight thousand, five hundred fifty-two".