2563801956 has 135 divisors (see below), whose sum is σ = 7013665659. Its totient is φ = 816625152.

The previous prime is 2563801901. The next prime is 2563801963. The reversal of 2563801956 is 6591083652.

The square root of 2563801956 is 50634.

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

2563801956 is a `hidden beast` number, since 2 + 5 + 638 + 0 + 1 + 9 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1822500 + 2561979456 = 1350^2 + 50616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 26430900 + ... + 26430996.

Almost surely, 2^2563801956 is an apocalyptic number.

2563801956 is the 50634-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2563801956

2563801956 is an abundant number, since it is smaller than the sum of its proper divisors (4449863703).

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

2563801956 is an equidigital number, since it uses as much as digits as its factorization.

2563801956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The cubic root of 2563801956 is about 1368.6576362519.

The spelling of 2563801956 in words is "two billion, five hundred sixty-three million, eight hundred one thousand, nine hundred fifty-six".