5301138000 has 160 divisors (see below), whose sum is σ = 17553519360. Its totient is φ = 1375372800.

The previous prime is 5301137983. The next prime is 5301138071. The reversal of 5301138000 is 8311035.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210061 + ... + 233939.

It is an arithmetic number, because the mean of its divisors is an integer number (109709496).

Almost surely, 2^5301138000 is an apocalyptic number.

5301138000 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 5301138000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8776759680).

5301138000 is an abundant number, since it is smaller than the sum of its proper divisors (12252381360).

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

5301138000 is a wasteful number, since it uses less digits than its factorization.

5301138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23942 (or 23926 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 5301138000 is about 72808.9142893918. The cubic root of 5301138000 is about 1743.6381796462.

Adding to 5301138000 its reverse (8311035), we get a palindrome (5309449035).

The spelling of 5301138000 in words is "five billion, three hundred one million, one hundred thirty-eight thousand".