6123501634041 has 135 divisors (see below), whose sum is σ = 10361331691165. Its totient is φ = 3484195968000.

The previous prime is 6123501634039. The next prime is 6123501634079. The reversal of 6123501634041 is 1404361053216.

The square root of 6123501634041 is 2474571.

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

6123501634041 is a `hidden beast` number, since 6 + 1 + 235 + 0 + 16 + 3 + 404 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4228760396025 + 1894741238016 = 2056395^2 + 1376496^2 .

It is not a de Polignac number, because 6123501634041 - 2¹ = 6123501634039 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 6123501633987 and 6123501634005.

It is not an unprimeable number, because it can be changed into a prime (6123501634841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 15270577441 + ... + 15270577841.

Almost surely, 2^{6123501634041} is an apocalyptic number.

6123501634041 is the 2474571-st square number.

6123501634041 is the 1237286-th centered octagonal number.

It is an amenable number.

6123501634041 is a deficient number, since it is larger than the sum of its proper divisors (4237830057124).

6123501634041 is an frugal number, since it uses more digits than its factorization.

6123501634041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Multiplying 6123501634041 by its sum of digits (36), we get a square (220446058825476 = 14847426²).

Adding to 6123501634041 its reverse (1404361053216), we get a palindrome (7527862687257).

The spelling of 6123501634041 in words is "six trillion, one hundred twenty-three billion, five hundred one million, six hundred thirty-four thousand, forty-one".