1351107564066 has 72 divisors (see below), whose sum is σ = 3247221293316. Its totient is φ = 405585722880.

The previous prime is 1351107564049. The next prime is 1351107564067. The reversal of 1351107564066 is 6604657011531.

1351107564066 is a `hidden beast` number, since 1 + 3 + 511 + 0 + 75 + 6 + 4 + 0 + 66 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2538648225 + 1348568915841 = 50385^2 + 1161279^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1351107564067) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5291755 + ... + 5541198.

Almost surely, 2^{1351107564066} is an apocalyptic number.

1351107564066 is an abundant number, since it is smaller than the sum of its proper divisors (1896113729250).

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

1351107564066 is a wasteful number, since it uses less digits than its factorization.

1351107564066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10833028 (or 10833012 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1351107564066 in words is "one trillion, three hundred fifty-one billion, one hundred seven million, five hundred sixty-four thousand, sixty-six".