5310409248 has 168 divisors, whose sum is σ = 15758519868. Its totient is φ = 1760735232.

The previous prime is 5310409219. The next prime is 5310409249. The reversal of 5310409248 is 8429040135.

5310409248 is a `hidden beast` number, since 5 + 3 + 1 + 0 + 409 + 248 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5251611024 + 58798224 = 72468^2 + 7668^2 .

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 not an unprimeable number, because it can be changed into a prime (5310409249) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 5434936 + ... + 5435912.

Almost surely, 2^5310409248 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 5310409248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879259934).

5310409248 is an abundant number, since it is smaller than the sum of its proper divisors (10448110620).

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

5310409248 is an equidigital number, since it uses as much as digits as its factorization.

5310409248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5310409248 is about 72872.5548337644. The cubic root of 5310409248 is about 1744.6540801929.

The spelling of 5310409248 in words is "five billion, three hundred ten million, four hundred nine thousand, two hundred forty-eight".