5127258528 has 480 divisors, whose sum is σ = 18441561600. Its totient is φ = 1364967936.

The previous prime is 5127258491. The next prime is 5127258541. The reversal of 5127258528 is 8258527215.

5127258528 is a `hidden beast` number, since 5 + 1 + 2 + 72 + 58 + 528 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36886683 + ... + 36886821.

It is an arithmetic number, because the mean of its divisors is an integer number (38419920).

Almost surely, 2^5127258528 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 5127258528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9220780800).

5127258528 is an abundant number, since it is smaller than the sum of its proper divisors (13314303072).

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

5127258528 is a wasteful number, since it uses less digits than its factorization.

5127258528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 277 counting only the distinct ones).

The product of its digits is 448000, while the sum is 45.

The square root of 5127258528 is about 71604.8778226735. The cubic root of 5127258528 is about 1724.3618478810.

The spelling of 5127258528 in words is "five billion, one hundred twenty-seven million, two hundred fifty-eight thousand, five hundred twenty-eight".