282257375841 has 81 divisors (see below), whose sum is σ = 493011455859. Its totient is φ = 161117794656.

The previous prime is 282257375819. The next prime is 282257375857. The reversal of 282257375841 is 148573752282.

The square root of 282257375841 is 531279.

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

282257375841 is a `hidden beast` number, since 2 + 8 + 2 + 2 + 57 + 3 + 7 + 584 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14860829025 + 267396546816 = 121905^2 + 517104^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 282257375841 - 2³¹ = 280109892193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (282257375341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 301234725 + ... + 301235661.

Almost surely, 2^282257375841 is an apocalyptic number.

282257375841 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

282257375841 is the 531279-th square number.

282257375841 is the 265640-th centered octagonal number.

It is an amenable number.

282257375841 is a deficient number, since it is larger than the sum of its proper divisors (210754080018).

282257375841 is an frugal number, since it uses more digits than its factorization.

282257375841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 947 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The spelling of 282257375841 in words is "two hundred eighty-two billion, two hundred fifty-seven million, three hundred seventy-five thousand, eight hundred forty-one".