820095059281 has 9 divisors (see below), whose sum is σ = 834284921691. Its totient is φ = 806142618744.

The previous prime is 820095059237. The next prime is 820095059299. The reversal of 820095059281 is 182950590028.

The square root of 820095059281 is 905591.

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

It can be written as a sum of positive squares in only one way, i.e., 272702239681 + 547392819600 = 522209^2 + 739860^2 .

It is not a de Polignac number, because 820095059281 - 2²³ = 820086670673 is a prime.

It is a super-2 number, since 2×820095059281² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (820095059981) 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, 53422195 + ... + 53437543.

Almost surely, 2^820095059281 is an apocalyptic number.

820095059281 is the 905591-st square number.

820095059281 is the 452796-th centered octagonal number.

It is an amenable number.

820095059281 is a deficient number, since it is larger than the sum of its proper divisors (14189862410).

820095059281 is an frugal number, since it uses more digits than its factorization.

820095059281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30816 (or 15408 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 49.

Multiplying 820095059281 by its sum of digits (49), we get a square (40184657904769 = 6339137²).

The spelling of 820095059281 in words is "eight hundred twenty billion, ninety-five million, fifty-nine thousand, two hundred eighty-one".