2585393863056 has 45 divisors (see below), whose sum is σ = 7235565991329. Its totient is φ = 861791522688.

The previous prime is 2585393863037. The next prime is 2585393863079. The reversal of 2585393863056 is 6503683935852.

The square root of 2585393863056 is 1607916.

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

2585393863056 is a `hidden beast` number, since 2 + 5 + 8 + 539 + 38 + 63 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1109693696400 + 1475700166656 = 1053420^2 + 1214784^2 .

It is a super-2 number, since 2×2585393863056² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2585393862984 and 2585393863002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19227996 + ... + 19361988.

Almost surely, 2^{2585393863056} is an apocalyptic number.

2585393863056 is the 1607916-th square number.

It is an amenable number.

2585393863056 is an abundant number, since it is smaller than the sum of its proper divisors (4650172128273).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2585393863056 is an frugal number, since it uses more digits than its factorization.

2585393863056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268000 (or 133998 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

It can be divided in two parts, 2585393 and 863056, that added together give a square (3448449 = 1857²).

The spelling of 2585393863056 in words is "two trillion, five hundred eighty-five billion, three hundred ninety-three million, eight hundred sixty-three thousand, fifty-six".