82779808952281 has 9 divisors (see below), whose sum is σ = 96294953888181. Its totient is φ = 70954067369052.

The previous prime is 82779808952273. The next prime is 82779808952293. The reversal of 82779808952281 is 18225980897728.

The square root of 82779808952281 is 9098341.

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

It is not a de Polignac number, because 82779808952281 - 2³ = 82779808952273 is a prime.

It is a super-2 number, since 2×82779808952281² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 82779808952198 and 82779808952207.

It is not an unprimeable number, because it can be changed into a prime (82779808952681) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63038506 + ... + 64338268.

It is an arithmetic number, because the mean of its divisors is an integer number (10699439320909).

Almost surely, 2^{82779808952281} is an apocalyptic number.

82779808952281 is the 9098341-st square number.

82779808952281 is the 4549171-st centered octagonal number.

It is an amenable number.

82779808952281 is a deficient number, since it is larger than the sum of its proper divisors (13515144935900).

82779808952281 is an frugal number, since it uses more digits than its factorization.

82779808952281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599540 (or 1299770 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 76.

The spelling of 82779808952281 in words is "eighty-two trillion, seven hundred seventy-nine billion, eight hundred eight million, nine hundred fifty-two thousand, two hundred eighty-one".