1066096830033 has 16 divisors (see below), whose sum is σ = 1589462607360. Its totient is φ = 706204266768.

The previous prime is 1066096830031. The next prime is 1066096830061. The reversal of 1066096830033 is 3300386906601.

1066096830033 is a `hidden beast` number, since 1 + 0 + 6 + 609 + 6 + 8 + 3 + 0 + 0 + 33 = 666.

It is not a de Polignac number, because 1066096830033 - 2¹ = 1066096830031 is a prime.

It is a super-2 number, since 2×1066096830033² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1066096830031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125744385 + ... + 125752862.

It is an arithmetic number, because the mean of its divisors is an integer number (99341412960).

Almost surely, 2^{1066096830033} is an apocalyptic number.

It is an amenable number.

1066096830033 is a deficient number, since it is larger than the sum of its proper divisors (523365777327).

1066096830033 is a wasteful number, since it uses less digits than its factorization.

1066096830033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251497413 (or 251497407 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

It can be divided in two parts, 1066096 and 830033, that added together give a square (1896129 = 1377²).

The spelling of 1066096830033 in words is "one trillion, sixty-six billion, ninety-six million, eight hundred thirty thousand, thirty-three".