503051412006 has 576 divisors, whose sum is σ = 1438376486400. Its totient is φ = 129764194560.

The previous prime is 503051411987. The next prime is 503051412013. The reversal of 503051412006 is 600214150305.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 736531741 + ... + 736532423.

It is an arithmetic number, because the mean of its divisors is an integer number (2497181400).

Almost surely, 2^503051412006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 503051412006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719188243200).

503051412006 is an abundant number, since it is smaller than the sum of its proper divisors (935325074394).

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

503051412006 is a wasteful number, since it uses less digits than its factorization.

503051412006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 503051412006 in words is "five hundred three billion, fifty-one million, four hundred twelve thousand, six".