1252065106566 has 96 divisors (see below), whose sum is σ = 2827229184000. Its totient is φ = 400015929600.

The previous prime is 1252065106559. The next prime is 1252065106573. The reversal of 1252065106566 is 6656015602521.

1252065106566 is a `hidden beast` number, since 1 + 2 + 5 + 20 + 65 + 1 + 0 + 6 + 566 = 666.

It is an interprime number because it is at equal distance from previous prime (1252065106559) and next prime (1252065106573).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92745685 + ... + 92759183.

It is an arithmetic number, because the mean of its divisors is an integer number (29450304000).

Almost surely, 2^{1252065106566} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252065106566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413614592000).

1252065106566 is an abundant number, since it is smaller than the sum of its proper divisors (1575164077434).

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

1252065106566 is a wasteful number, since it uses less digits than its factorization.

1252065106566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15122 (or 15119 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 1252065106566 in words is "one trillion, two hundred fifty-two billion, sixty-five million, one hundred six thousand, five hundred sixty-six".