506646806803441 has 2 divisors, whose sum is σ = 506646806803442. Its totient is φ = 506646806803440.

The previous prime is 506646806803427. The next prime is 506646806803483. The reversal of 506646806803441 is 144308608646605.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 267651563203600 + 238995243599841 = 16360060^2 + 15459471^2 .

It is a cyclic number.

It is not a de Polignac number, because 506646806803441 - 2⁴¹ = 504447783547889 is a prime.

It is a super-3 number, since 3×506646806803441³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 506646806803441.

It is not a weakly prime, because it can be changed into another prime (506646806800441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253323403401720 + 253323403401721.

It is an arithmetic number, because the mean of its divisors is an integer number (253323403401721).

Almost surely, 2^{506646806803441} is an apocalyptic number.

It is an amenable number.

506646806803441 is a deficient number, since it is larger than the sum of its proper divisors (1).

506646806803441 is an equidigital number, since it uses as much as digits as its factorization.

506646806803441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 79626240, while the sum is 61.

The spelling of 506646806803441 in words is "five hundred six trillion, six hundred forty-six billion, eight hundred six million, eight hundred three thousand, four hundred forty-one".