506332332003000 has 128 divisors (see below), whose sum is σ = 1583139657265920. Its totient is φ = 134732828585600.

The previous prime is 506332332002957. The next prime is 506332332003013. The reversal of 506332332003000 is 300233233605.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179302902 + ... + 182104901.

It is an arithmetic number, because the mean of its divisors is an integer number (12368278572390).

Almost surely, 2^{506332332003000} is an apocalyptic number.

506332332003000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

506332332003000 is an abundant number, since it is smaller than the sum of its proper divisors (1076807325262920).

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

506332332003000 is a wasteful number, since it uses less digits than its factorization.

506332332003000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361408294 (or 361408280 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 30.

Adding to 506332332003000 its reverse (300233233605), we get a palindrome (506632565236605).

The spelling of 506332332003000 in words is "five hundred six trillion, three hundred thirty-two billion, three hundred thirty-two million, three thousand".