506014213264 has 80 divisors (see below), whose sum is σ = 1169456221440. Its totient is φ = 207384629760.

The previous prime is 506014213261. The next prime is 506014213307. The reversal of 506014213264 is 462312410605.

It is not an unprimeable number, because it can be changed into a prime (506014213261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11882442 + ... + 11924950.

It is an arithmetic number, because the mean of its divisors is an integer number (14618202768).

Almost surely, 2^506014213264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506014213264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584728110720).

506014213264 is an abundant number, since it is smaller than the sum of its proper divisors (663442008176).

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

506014213264 is a wasteful number, since it uses less digits than its factorization.

506014213264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47168 (or 47162 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

Adding to 506014213264 its reverse (462312410605), we get a palindrome (968326623869).

The spelling of 506014213264 in words is "five hundred six billion, fourteen million, two hundred thirteen thousand, two hundred sixty-four".