6130509600 has 288 divisors, whose sum is σ = 21131772480. Its totient is φ = 1539440640.

The previous prime is 6130509557. The next prime is 6130509643. The reversal of 6130509600 is 69050316.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6130509557) and next prime (6130509643).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10624512 + ... + 10625088.

It is an arithmetic number, because the mean of its divisors is an integer number (73374210).

Almost surely, 2^6130509600 is an apocalyptic number.

6130509600 is a gapful number since it is divisible by the number (60) 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 6130509600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10565886240).

6130509600 is an abundant number, since it is smaller than the sum of its proper divisors (15001262880).

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

6130509600 is a wasteful number, since it uses less digits than its factorization.

6130509600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 6130509600 is about 78297.5708435453. The cubic root of 6130509600 is about 1830.2012976931.

Adding to 6130509600 its reverse (69050316), we get a palindrome (6199559916).

The spelling of 6130509600 in words is "six billion, one hundred thirty million, five hundred nine thousand, six hundred".