506321401614561 has 64 divisors (see below), whose sum is σ = 850459097376000. Its totient is φ = 295135853575680.

The previous prime is 506321401614361. The next prime is 506321401614583. The reversal of 506321401614561 is 165416104123605.

506321401614561 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 21 + 4 + 0 + 1 + 61 + 4 + 561 = 666.

It is not a de Polignac number, because 506321401614561 - 2¹¹ = 506321401612513 is a prime.

It is a super-2 number, since 2×506321401614561² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506321401614361) 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 63 ways as a sum of consecutive naturals, for example, 35385805 + ... + 47589893.

It is an arithmetic number, because the mean of its divisors is an integer number (13288423396500).

Almost surely, 2^{506321401614561} is an apocalyptic number.

It is an amenable number.

506321401614561 is a deficient number, since it is larger than the sum of its proper divisors (344137695761439).

506321401614561 is a wasteful number, since it uses less digits than its factorization.

506321401614561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210351 (or 12210345 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 506321401614561 in words is "five hundred six trillion, three hundred twenty-one billion, four hundred one million, six hundred fourteen thousand, five hundred sixty-one".