506337038141 has 10 divisors (see below), whose sum is σ = 556967299710. Its totient is φ = 460306385000.

The previous prime is 506337038131. The next prime is 506337038161. The reversal of 506337038141 is 141830733605.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 464074312900 + 42262725241 = 681230^2 + 205579^2 .

It is a de Polignac number, because none of the positive numbers 2^k-506337038141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506337038131) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 17277110 + ... + 17306391.

It is an arithmetic number, because the mean of its divisors is an integer number (55696729971).

Almost surely, 2^506337038141 is an apocalyptic number.

It is an amenable number.

506337038141 is a deficient number, since it is larger than the sum of its proper divisors (50630261569).

506337038141 is an frugal number, since it uses more digits than its factorization.

506337038141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34583545 (or 34583512 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 506337038141 in words is "five hundred six billion, three hundred thirty-seven million, thirty-eight thousand, one hundred forty-one".