6133361256 has 192 divisors, whose sum is σ = 19129017600. Its totient is φ = 1818685440.

The previous prime is 6133361237. The next prime is 6133361279. The reversal of 6133361256 is 6521633316.

6133361256 is a `hidden beast` number, since 6 + 1 + 3 + 33 + 612 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6133361256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1225896 + ... + 1230888.

It is an arithmetic number, because the mean of its divisors is an integer number (99630300).

Almost surely, 2^6133361256 is an apocalyptic number.

6133361256 is a gapful number since it is divisible by the number (66) 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 6133361256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9564508800).

6133361256 is an abundant number, since it is smaller than the sum of its proper divisors (12995656344).

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

6133361256 is a wasteful number, since it uses less digits than its factorization.

6133361256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5077 (or 5056 counting only the distinct ones).

The product of its digits is 58320, while the sum is 36.

The square root of 6133361256 is about 78315.7790997446. The cubic root of 6133361256 is about 1830.4850313370.

The spelling of 6133361256 in words is "six billion, one hundred thirty-three million, three hundred sixty-one thousand, two hundred fifty-six".