506593400352 has 384 divisors, whose sum is σ = 1515804917760. Its totient is φ = 147069112320.

The previous prime is 506593400267. The next prime is 506593400353. The reversal of 506593400352 is 253004395605.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (506593400353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253676218 + ... + 253678214.

It is an arithmetic number, because the mean of its divisors is an integer number (3947408640).

Almost surely, 2^506593400352 is an apocalyptic number.

506593400352 is a gapful number since it is divisible by the number (52) 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 506593400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757902458880).

506593400352 is an abundant number, since it is smaller than the sum of its proper divisors (1009211517408).

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

506593400352 is a wasteful number, since it uses less digits than its factorization.

506593400352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 42.

Adding to 506593400352 its reverse (253004395605), we get a palindrome (759597795957).

The spelling of 506593400352 in words is "five hundred six billion, five hundred ninety-three million, four hundred thousand, three hundred fifty-two".