1072133543673 has 6 divisors (see below), whose sum is σ = 1548637340874. Its totient is φ = 714755695776.

The previous prime is 1072133543639. The next prime is 1072133543681. The reversal of 1072133543673 is 3763453312701.

1072133543673 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 1 + 33 + 543 + 6 + 73 = 666.

It can be written as a sum of positive squares in only one way, i.e., 956742209424 + 115391334249 = 978132^2 + 339693^2 .

It is not a de Polignac number, because 1072133543673 - 2⁶ = 1072133543609 is a prime.

It is a super-2 number, since 2×1072133543673² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1072133543603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 59562974640 + ... + 59562974657.

It is an arithmetic number, because the mean of its divisors is an integer number (258106223479).

Almost surely, 2^{1072133543673} is an apocalyptic number.

It is an amenable number.

1072133543673 is a deficient number, since it is larger than the sum of its proper divisors (476503797201).

1072133543673 is a wasteful number, since it uses less digits than its factorization.

1072133543673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119125949303 (or 119125949300 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 1072133543673 in words is "one trillion, seventy-two billion, one hundred thirty-three million, five hundred forty-three thousand, six hundred seventy-three".