1572105414133 has 2 divisors, whose sum is σ = 1572105414134. Its totient is φ = 1572105414132.

The previous prime is 1572105414097. The next prime is 1572105414233. The reversal of 1572105414133 is 3314145012751.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 996816537649 + 575288876484 = 998407^2 + 758478^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1572105414133 is a prime.

It is a super-2 number, since 2×1572105414133² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1572105414092 and 1572105414101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1572105414233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 786052707066 + 786052707067.

It is an arithmetic number, because the mean of its divisors is an integer number (786052707067).

Almost surely, 2^{1572105414133} is an apocalyptic number.

It is an amenable number.

1572105414133 is a deficient number, since it is larger than the sum of its proper divisors (1).

1572105414133 is an equidigital number, since it uses as much as digits as its factorization.

1572105414133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50400, while the sum is 37.

The spelling of 1572105414133 in words is "one trillion, five hundred seventy-two billion, one hundred five million, four hundred fourteen thousand, one hundred thirty-three".