6130853315136 has 567 divisors, whose sum is σ = 19725834552697. Its totient is φ = 1819207864320.

The previous prime is 6130853315113. The next prime is 6130853315141. The reversal of 6130853315136 is 6315133580316.

The square root of 6130853315136 is 2476056.

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

6130853315136 is a `hidden beast` number, since 6 + 1 + 30 + 8 + 533 + 1 + 51 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108030542400 + 6022822772736 = 328680^2 + 2454144^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6130853315091 and 6130853315100.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 54255339016 + ... + 54255339128.

Almost surely, 2^{6130853315136} is an apocalyptic number.

6130853315136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6130853315136 is the 2476056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6130853315136

6130853315136 is an abundant number, since it is smaller than the sum of its proper divisors (13594981237561).

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

6130853315136 is a wasteful number, since it uses less digits than its factorization.

6130853315136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 6130853315136 in words is "six trillion, one hundred thirty billion, eight hundred fifty-three million, three hundred fifteen thousand, one hundred thirty-six".