51061056000570 has 768 divisors, whose sum is σ = 180630249246720. Its totient is φ = 9688265625600.

The previous prime is 51061056000533. The next prime is 51061056000571. The reversal of 51061056000570 is 7500065016015.

51061056000570 is a `hidden beast` number, since 5 + 10 + 6 + 10 + 5 + 60 + 0 + 0 + 570 = 666.

It is not an unprimeable number, because it can be changed into a prime (51061056000571) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 448016032 + ... + 448129988.

It is an arithmetic number, because the mean of its divisors is an integer number (235195637040).

Almost surely, 2^{51061056000570} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51061056000570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90315124623360).

51061056000570 is an abundant number, since it is smaller than the sum of its proper divisors (129569193246150).

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

51061056000570 is a wasteful number, since it uses less digits than its factorization.

51061056000570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114131 (or 114128 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 51061056000570 in words is "fifty-one trillion, sixty-one billion, fifty-six million, five hundred seventy", and thus it is an aban number.