5135302368 has 768 divisors, whose sum is σ = 19740672000. Its totient is φ = 1264564224.

The previous prime is 5135302331. The next prime is 5135302369. The reversal of 5135302368 is 8632035315.

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 (5135302369) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 76646271 + ... + 76646337.

It is an arithmetic number, because the mean of its divisors is an integer number (25704000).

Almost surely, 2^5135302368 is an apocalyptic number.

5135302368 is a gapful number since it is divisible by the number (58) 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 5135302368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9870336000).

5135302368 is an abundant number, since it is smaller than the sum of its proper divisors (14605369632).

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

5135302368 is a wasteful number, since it uses less digits than its factorization.

5135302368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 5135302368 is about 71661.0240507349. The cubic root of 5135302368 is about 1725.2631250792.

The spelling of 5135302368 in words is "five billion, one hundred thirty-five million, three hundred two thousand, three hundred sixty-eight".