6133506523460 has 144 divisors (see below), whose sum is σ = 14026451143824. Its totient is φ = 2245096783872.

The previous prime is 6133506523439. The next prime is 6133506523471. The reversal of 6133506523460 is 643256053316.

It can be written as a sum of positive squares in 24 ways, for example, as 522558385924 + 5610948137536 = 722882^2 + 2368744^2 .

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, 815947622 + ... + 815955138.

It is an arithmetic number, because the mean of its divisors is an integer number (97405910721).

Almost surely, 2^{6133506523460} 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 6133506523460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7013225571912).

6133506523460 is an abundant number, since it is smaller than the sum of its proper divisors (7892944620364).

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

6133506523460 is a wasteful number, since it uses less digits than its factorization.

6133506523460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9370 (or 9331 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 44.

The spelling of 6133506523460 in words is "six trillion, one hundred thirty-three billion, five hundred six million, five hundred twenty-three thousand, four hundred sixty".