506351404147747 has 16 divisors (see below), whose sum is σ = 535394592944640. Its totient is φ = 477547882828128.

The previous prime is 506351404147739. The next prime is 506351404147751. The reversal of 506351404147747 is 747741404153605.

It is a cyclic number.

It is not a de Polignac number, because 506351404147747 - 2³ = 506351404147739 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506351404147691 and 506351404147700.

It is not an unprimeable number, because it can be changed into a prime (506351404147777) 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 15 ways as a sum of consecutive naturals, for example, 46330413 + ... + 56206849.

It is an arithmetic number, because the mean of its divisors is an integer number (33462162059040).

Almost surely, 2^{506351404147747} is an apocalyptic number.

506351404147747 is a deficient number, since it is larger than the sum of its proper divisors (29043188796893).

506351404147747 is a wasteful number, since it uses less digits than its factorization.

506351404147747 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9888570.

The product of its (nonzero) digits is 39513600, while the sum is 58.

The spelling of 506351404147747 in words is "five hundred six trillion, three hundred fifty-one billion, four hundred four million, one hundred forty-seven thousand, seven hundred forty-seven".