5135130000 has 1600 divisors, whose sum is σ = 26031667200. Its totient is φ = 933120000.

The previous prime is 5135129947. The next prime is 5135130001. The reversal of 5135130000 is 315315.

It is a happy number.

It is a super-3 number, since 3×5135130000³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5135130001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 270269991 + ... + 270270009.

It is an arithmetic number, because the mean of its divisors is an integer number (16269792).

Almost surely, 2^5135130000 is an apocalyptic number.

5135130000 is a gapful number since it is divisible by the number (50) 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 5135130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13015833600).

5135130000 is an abundant number, since it is smaller than the sum of its proper divisors (20896537200).

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

5135130000 is a wasteful number, since it uses less digits than its factorization.

5135130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 5135130000 is about 71659.8213785103. The cubic root of 5135130000 is about 1725.2438218678.

Adding to 5135130000 its reverse (315315), we get a palindrome (5135445315).

It can be divided in two parts, 513 and 5130000, that multiplied together give a square (2631690000 = 51300²).

The spelling of 5135130000 in words is "five billion, one hundred thirty-five million, one hundred thirty thousand".