5151582828 has 240 divisors, whose sum is σ = 16610577984. Its totient is φ = 1358622720.

The previous prime is 5151582809. The next prime is 5151582847. The reversal of 5151582828 is 8282851515.

5151582828 is a `hidden beast` number, since 51 + 515 + 8 + 2 + 82 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5151582809) and next prime (5151582847).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2042208 + ... + 2044728.

Almost surely, 2^5151582828 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 5151582828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8305288992).

5151582828 is an abundant number, since it is smaller than the sum of its proper divisors (11458995156).

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

5151582828 is a wasteful number, since it uses less digits than its factorization.

5151582828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2603 counting only the distinct ones).

The product of its digits is 256000, while the sum is 45.

The square root of 5151582828 is about 71774.5277100449. The cubic root of 5151582828 is about 1727.0844035481.

The spelling of 5151582828 in words is "five billion, one hundred fifty-one million, five hundred eighty-two thousand, eight hundred twenty-eight".