5175985248 has 288 divisors, whose sum is σ = 17328729600. Its totient is φ = 1464825600.

The previous prime is 5175985183. The next prime is 5175985249. The reversal of 5175985248 is 8425895715.

5175985248 is a `hidden beast` number, since 5 + 1 + 7 + 598 + 5 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5175985194 and 5175985203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5175985249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14916211 + ... + 14916557.

It is an arithmetic number, because the mean of its divisors is an integer number (60169200).

Almost surely, 2^5175985248 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 5175985248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8664364800).

5175985248 is an abundant number, since it is smaller than the sum of its proper divisors (12152744352).

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

5175985248 is a wasteful number, since it uses less digits than its factorization.

5175985248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 510 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 54.

The square root of 5175985248 is about 71944.3204707641. The cubic root of 5175985248 is about 1729.8071051372.

The spelling of 5175985248 in words is "five billion, one hundred seventy-five million, nine hundred eighty-five thousand, two hundred forty-eight".