2583283583560 has 32 divisors (see below), whose sum is σ = 5812475455800. Its totient is φ = 1033297896960.

The previous prime is 2583283583557. The next prime is 2583283583611. The reversal of 2583283583560 is 653853823852.

It is a happy number.

2583283583560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1591821282276 + 991462301284 = 1261674^2 + 995722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2583283583495 and 2583283583504.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2423236 + ... + 3322444.

Almost surely, 2^{2583283583560} is an apocalyptic number.

2583283583560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2583283583560 is an abundant number, since it is smaller than the sum of its proper divisors (3229191872240).

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

2583283583560 is a wasteful number, since it uses less digits than its factorization.

2583283583560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971041 (or 971037 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 58.

The spelling of 2583283583560 in words is "two trillion, five hundred eighty-three billion, two hundred eighty-three million, five hundred eighty-three thousand, five hundred sixty".