6561605010510 has 144 divisors (see below), whose sum is σ = 19455459227568. Its totient is φ = 1521531475200.

The previous prime is 6561605010479. The next prime is 6561605010511. The reversal of 6561605010510 is 150105061656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6561605010511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5740831 + ... + 6788250.

It is an arithmetic number, because the mean of its divisors is an integer number (135107355747).

Almost surely, 2^{6561605010510} is an apocalyptic number.

6561605010510 is an abundant number, since it is smaller than the sum of its proper divisors (12893854217058).

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

6561605010510 is a wasteful number, since it uses less digits than its factorization.

6561605010510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12529151 (or 12529125 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 6561605010510 in words is "six trillion, five hundred sixty-one billion, six hundred five million, ten thousand, five hundred ten".