504401613000 has 128 divisors (see below), whose sum is σ = 1580319936000. Its totient is φ = 133944115200.

The previous prime is 504401612971. The next prime is 504401613031. The reversal of 504401613000 is 316104405.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 365256 + ... + 1068744.

It is an arithmetic number, because the mean of its divisors is an integer number (12346249500).

Almost surely, 2^504401613000 is an apocalyptic number.

504401613000 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 504401613000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790159968000).

504401613000 is an abundant number, since it is smaller than the sum of its proper divisors (1075918323000).

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

504401613000 is a wasteful number, since it uses less digits than its factorization.

504401613000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703752 (or 703738 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 504401613000 its reverse (316104405), we get a palindrome (504717717405).

The spelling of 504401613000 in words is "five hundred four billion, four hundred one million, six hundred thirteen thousand".