5128135320 has 256 divisors, whose sum is σ = 19800391680. Its totient is φ = 1031155200.

The previous prime is 5128135307. The next prime is 5128135333. The reversal of 5128135320 is 235318215.

It is a Cunningham number, because it is equal to 71611²-1.

It is an interprime number because it is at equal distance from previous prime (5128135307) and next prime (5128135333).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 277489 + ... + 295391.

It is an arithmetic number, because the mean of its divisors is an integer number (77345280).

Almost surely, 2^5128135320 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 5128135320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9900195840).

5128135320 is an abundant number, since it is smaller than the sum of its proper divisors (14672256360).

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

5128135320 is a wasteful number, since it uses less digits than its factorization.

5128135320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17966 (or 17962 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 5128135320 is about 71610.9999930178. Note that the first 5 decimals coincide. The cubic root of 5128135320 is about 1724.4601343559.

The spelling of 5128135320 in words is "five billion, one hundred twenty-eight million, one hundred thirty-five thousand, three hundred twenty".