5102689536 has 432 divisors, whose sum is σ = 18320649984. Its totient is φ = 1332412416.

The previous prime is 5102689531. The next prime is 5102689547. The reversal of 5102689536 is 6359862015.

5102689536 is a `hidden beast` number, since 5 + 10 + 26 + 89 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5102689491 and 5102689500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5102689531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10144261 + ... + 10144763.

It is an arithmetic number, because the mean of its divisors is an integer number (42408912).

Almost surely, 2^5102689536 is an apocalyptic number.

5102689536 is a gapful number since it is divisible by the number (56) 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 5102689536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160324992).

5102689536 is an abundant number, since it is smaller than the sum of its proper divisors (13217960448).

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

5102689536 is a wasteful number, since it uses less digits than its factorization.

5102689536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5102689536 is about 71433.1123219477. The cubic root of 5102689536 is about 1721.6031492505.

The spelling of 5102689536 in words is "five billion, one hundred two million, six hundred eighty-nine thousand, five hundred thirty-six".