2563126561000 has 64 divisors (see below), whose sum is σ = 6041495425680. Its totient is φ = 1017766988800.

The previous prime is 2563126560991. The next prime is 2563126561013. The reversal of 2563126561000 is 1656213652.

It can be written as a sum of positive squares in 8 ways, for example, as 451807131556 + 2111319429444 = 672166^2 + 1453038^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9217477 + ... + 9491476.

Almost surely, 2^{2563126561000} is an apocalyptic number.

2563126561000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2563126561000 is an abundant number, since it is smaller than the sum of its proper divisors (3478368864680).

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

2563126561000 is a wasteful number, since it uses less digits than its factorization.

2563126561000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18709111 (or 18709097 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The spelling of 2563126561000 in words is "two trillion, five hundred sixty-three billion, one hundred twenty-six million, five hundred sixty-one thousand".