504135075000 has 384 divisors, whose sum is σ = 1665455904000. Its totient is φ = 126806400000.

The previous prime is 504135074983. The next prime is 504135075001. The reversal of 504135075000 is 570531405.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504135075001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 400424371 + ... + 400425629.

It is an arithmetic number, because the mean of its divisors is an integer number (4337124750).

Almost surely, 2^504135075000 is an apocalyptic number.

504135075000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504135075000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832727952000).

504135075000 is an abundant number, since it is smaller than the sum of its proper divisors (1161320829000).

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

504135075000 is a wasteful number, since it uses less digits than its factorization.

504135075000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The spelling of 504135075000 in words is "five hundred four billion, one hundred thirty-five million, seventy-five thousand".