5109671588 has 72 divisors (see below), whose sum is σ = 10937659320. Its totient is φ = 2079544320.

The previous prime is 5109671587. The next prime is 5109671597. The reversal of 5109671588 is 8851769015.

It can be written as a sum of positive squares in 4 ways, for example, as 436308544 + 4673363044 = 20888^2 + 68362^2 .

It is a super-2 number, since 2×5109671588² = 52217487474428883488, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5109671587) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 339356 + ... + 354092.

It is an arithmetic number, because the mean of its divisors is an integer number (151911935).

Almost surely, 2^5109671588 is an apocalyptic number.

5109671588 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5109671588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468829660).

5109671588 is an abundant number, since it is smaller than the sum of its proper divisors (5827987732).

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

5109671588 is a wasteful number, since it uses less digits than its factorization.

5109671588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14845 (or 14836 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 50.

The square root of 5109671588 is about 71481.9668727715. The cubic root of 5109671588 is about 1722.3880192874.

The spelling of 5109671588 in words is "five billion, one hundred nine million, six hundred seventy-one thousand, five hundred eighty-eight".