6130890000 has 525 divisors, whose sum is σ = 23048944633. Its totient is φ = 1578528000.

The previous prime is 6130889987. The next prime is 6130890041. The reversal of 6130890000 is 980316.

The square root of 6130890000 is 78300.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 4585456656 + 1545433344 = 67716^2 + 39312^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 211409986 + ... + 211410014.

Almost surely, 2^6130890000 is an apocalyptic number.

6130890000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

6130890000 is the 78300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6130890000

6130890000 is an abundant number, since it is smaller than the sum of its proper divisors (16918054633).

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

6130890000 is an frugal number, since it uses more digits than its factorization.

6130890000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The cubic root of 6130890000 is about 1830.2391517606.

Multiplying 6130890000 by its product of nonzero digits (1296), we get a square (7945633440000 = 2818800²).

6130890000 divided by its product of nonzero digits (1296) gives a square (4730625 = 2175²).

The spelling of 6130890000 in words is "six billion, one hundred thirty million, eight hundred ninety thousand".