5135415000 has 320 divisors, whose sum is σ = 17379436800. Its totient is φ = 1259712000.

The previous prime is 5135414983. The next prime is 5135415007. The reversal of 5135415000 is 5145315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5135415007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10544757 + ... + 10545243.

It is an arithmetic number, because the mean of its divisors is an integer number (54310740).

Almost surely, 2^5135415000 is an apocalyptic number.

5135415000 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 5135415000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8689718400).

5135415000 is an abundant number, since it is smaller than the sum of its proper divisors (12244021800).

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

5135415000 is a wasteful number, since it uses less digits than its factorization.

5135415000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 5135415000 is about 71661.8099129515. The cubic root of 5135415000 is about 1725.2757383200.

The spelling of 5135415000 in words is "five billion, one hundred thirty-five million, four hundred fifteen thousand".