6133506523461 has 24 divisors (see below), whose sum is σ = 8947557473400. Its totient is φ = 4048369776000.

The previous prime is 6133506523439. The next prime is 6133506523471. The reversal of 6133506523461 is 1643256053316.

6133506523461 is a `hidden beast` number, since 6 + 1 + 3 + 3 + 506 + 52 + 34 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3718842264900 + 2414664258561 = 1928430^2 + 1553919^2 .

It is not a de Polignac number, because 6133506523461 - 2¹⁷ = 6133506392389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6133506523471) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 28023631 + ... + 28241651.

It is an arithmetic number, because the mean of its divisors is an integer number (372814894725).

Almost surely, 2^{6133506523461} is an apocalyptic number.

It is an amenable number.

6133506523461 is a deficient number, since it is larger than the sum of its proper divisors (2814050949939).

6133506523461 is a wasteful number, since it uses less digits than its factorization.

6133506523461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249077 (or 249074 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 6133506523461 in words is "six trillion, one hundred thirty-three billion, five hundred six million, five hundred twenty-three thousand, four hundred sixty-one".