6101575152 has 80 divisors (see below), whose sum is σ = 16132836480. Its totient is φ = 1986506496.

The previous prime is 6101575121. The next prime is 6101575153. The reversal of 6101575152 is 2515751016.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6101575153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437763 + ... + 451485.

It is an arithmetic number, because the mean of its divisors is an integer number (201660456).

Almost surely, 2^6101575152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6101575152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8066418240).

6101575152 is an abundant number, since it is smaller than the sum of its proper divisors (10031261328).

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

6101575152 is a wasteful number, since it uses less digits than its factorization.

6101575152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13950 (or 13944 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 33.

The square root of 6101575152 is about 78112.5799855567. The cubic root of 6101575152 is about 1827.3173940905.

The spelling of 6101575152 in words is "six billion, one hundred one million, five hundred seventy-five thousand, one hundred fifty-two".