504526050126 has 192 divisors, whose sum is σ = 1282394280960. Its totient is φ = 140390691840.

The previous prime is 504526050113. The next prime is 504526050137. The reversal of 504526050126 is 621050625405.

504526050126 is a `hidden beast` number, since 5 + 0 + 4 + 526 + 0 + 5 + 0 + 126 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 393238681 + ... + 393239963.

It is an arithmetic number, because the mean of its divisors is an integer number (6679136880).

Almost surely, 2^504526050126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504526050126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641197140480).

504526050126 is an abundant number, since it is smaller than the sum of its proper divisors (777868230834).

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

504526050126 is a wasteful number, since it uses less digits than its factorization.

504526050126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 504526050126 in words is "five hundred four billion, five hundred twenty-six million, fifty thousand, one hundred twenty-six".