501431205013 has 8 divisors (see below), whose sum is σ = 502484097240. Its totient is φ = 500379344640.

The previous prime is 501431204983. The next prime is 501431205019. The reversal of 501431205013 is 310502134105.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 338378380209 + 163052824804 = 581703^2 + 403798^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 501431205013 - 2²⁵ = 501397650581 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 (501431205019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 718833 + ... + 1232713.

It is an arithmetic number, because the mean of its divisors is an integer number (62810512155).

Almost surely, 2^501431205013 is an apocalyptic number.

It is an amenable number.

501431205013 is a deficient number, since it is larger than the sum of its proper divisors (1052892227).

501431205013 is a wasteful number, since it uses less digits than its factorization.

501431205013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515927.

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 501431205013 its reverse (310502134105), we get a palindrome (811933339118).

The spelling of 501431205013 in words is "five hundred one billion, four hundred thirty-one million, two hundred five thousand, thirteen".