506126036414241 has 80 divisors (see below), whose sum is σ = 800943242432256. Its totient is φ = 317409051492864.

The previous prime is 506126036414183. The next prime is 506126036414261. The reversal of 506126036414241 is 142414630621605.

506126036414241 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 2 + 603 + 6 + 4 + 14 + 24 + 1 = 666.

It is not a de Polignac number, because 506126036414241 - 2⁶ = 506126036414177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506126036414261) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28518954130 + ... + 28518971876.

Almost surely, 2^{506126036414241} is an apocalyptic number.

506126036414241 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

506126036414241 is a deficient number, since it is larger than the sum of its proper divisors (294817206018015).

506126036414241 is a wasteful number, since it uses less digits than its factorization.

506126036414241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27060 (or 27051 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 506126036414241 in words is "five hundred six trillion, one hundred twenty-six billion, thirty-six million, four hundred fourteen thousand, two hundred forty-one".