504122041125 has 192 divisors, whose sum is σ = 961953408000. Its totient is φ = 253720396800.

The previous prime is 504122041117. The next prime is 504122041127. The reversal of 504122041125 is 521140221405.

It is a happy number.

504122041125 is a `hidden beast` number, since 5 + 0 + 4 + 1 + 220 + 411 + 25 = 666.

It is not a de Polignac number, because 504122041125 - 2³ = 504122041117 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504122041127) 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 191 ways as a sum of consecutive naturals, for example, 165338601 + ... + 165341649.

It is an arithmetic number, because the mean of its divisors is an integer number (5010174000).

Almost surely, 2^504122041125 is an apocalyptic number.

It is an amenable number.

504122041125 is a deficient number, since it is larger than the sum of its proper divisors (457831366875).

504122041125 is a wasteful number, since it uses less digits than its factorization.

504122041125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 504122041125 in words is "five hundred four billion, one hundred twenty-two million, forty-one thousand, one hundred twenty-five".