420966534165961 has 9 divisors (see below), whose sum is σ = 489695931304749. Its totient is φ = 360828334751724.

The previous prime is 420966534165941. The next prime is 420966534166027. The reversal of 420966534165961 is 169561435669024.

The square root of 420966534165961 is 20517469.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 420966534165961 - 2¹⁹ = 420966533641673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420966534165941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142156750 + ... + 145087816.

It is an arithmetic number, because the mean of its divisors is an integer number (54410659033861).

Almost surely, 2^{420966534165961} is an apocalyptic number.

420966534165961 is the 20517469-th square number.

420966534165961 is the 10258735-th centered octagonal number.

It is an amenable number.

420966534165961 is a deficient number, since it is larger than the sum of its proper divisors (68729397138788).

420966534165961 is an frugal number, since it uses more digits than its factorization.

420966534165961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862148 (or 2931074 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 67.

The spelling of 420966534165961 in words is "four hundred twenty trillion, nine hundred sixty-six billion, five hundred thirty-four million, one hundred sixty-five thousand, nine hundred sixty-one".