5102065584 has 800 divisors, whose sum is σ = 19963722240. Its totient is φ = 1219276800.

The previous prime is 5102065583. The next prime is 5102065603. The reversal of 5102065584 is 4855602015.

5102065584 is a `hidden beast` number, since 5 + 10 + 2 + 0 + 65 + 584 = 666.

It is a super-2 number, since 2×5102065584² = 52062146446874522112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102065583) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 118652667 + ... + 118652709.

Almost surely, 2^5102065584 is an apocalyptic number.

5102065584 is a gapful number since it is divisible by the number (54) 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 5102065584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9981861120).

5102065584 is an abundant number, since it is smaller than the sum of its proper divisors (14861656656).

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

5102065584 is a wasteful number, since it uses less digits than its factorization.

5102065584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 5102065584 is about 71428.7448020753. The cubic root of 5102065584 is about 1721.5329743942.

Adding to 5102065584 its reverse (4855602015), we get a palindrome (9957667599).

The spelling of 5102065584 in words is "five billion, one hundred two million, sixty-five thousand, five hundred eighty-four".