5259155616 has 648 divisors, whose sum is σ = 19136295360. Its totient is φ = 1364014080.

The previous prime is 5259155599. The next prime is 5259155621. The reversal of 5259155616 is 6165519525.

5259155616 is a `hidden beast` number, since 5 + 2 + 5 + 91 + 556 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 111896905 + ... + 111896951.

It is an arithmetic number, because the mean of its divisors is an integer number (29531320).

Almost surely, 2^5259155616 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 5259155616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9568147680).

5259155616 is an abundant number, since it is smaller than the sum of its proper divisors (13877139744).

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

5259155616 is a wasteful number, since it uses less digits than its factorization.

5259155616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its digits is 405000, while the sum is 45.

The square root of 5259155616 is about 72520.0359624842. The cubic root of 5259155616 is about 1739.0230584056.

The spelling of 5259155616 in words is "five billion, two hundred fifty-nine million, one hundred fifty-five thousand, six hundred sixteen".