506404215345 has 48 divisors (see below), whose sum is σ = 942610331520. Its totient is φ = 231479813376.

The previous prime is 506404215307. The next prime is 506404215347. The reversal of 506404215345 is 543512404605.

It is not a de Polignac number, because 506404215345 - 2¹⁵ = 506404182577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (506404215347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12591789 + ... + 12631941.

It is an arithmetic number, because the mean of its divisors is an integer number (19637715240).

Almost surely, 2^506404215345 is an apocalyptic number.

It is an amenable number.

506404215345 is a deficient number, since it is larger than the sum of its proper divisors (436206116175).

506404215345 is a wasteful number, since it uses less digits than its factorization.

506404215345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57334 (or 57327 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 506404215345 in words is "five hundred six billion, four hundred four million, two hundred fifteen thousand, three hundred forty-five".