1055700765729 has 27 divisors (see below), whose sum is σ = 1540602943347. Its totient is φ = 696626694000.

The previous prime is 1055700765727. The next prime is 1055700765827. The reversal of 1055700765729 is 9275670075501.

The square root of 1055700765729 is 1027473.

It is a perfect power (a square), and thus also a powerful number.

1055700765729 is a `hidden beast` number, since 1 + 0 + 5 + 570 + 0 + 7 + 65 + 7 + 2 + 9 = 666.

1055700765729 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1014304794129 + 41395971600 = 1007127^2 + 203460^2 .

It is not a de Polignac number, because 1055700765729 - 2¹ = 1055700765727 is a prime.

It is a super-2 number, since 2×1055700765729² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055700765727) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 311322624 + ... + 311326014.

Almost surely, 2^{1055700765729} is an apocalyptic number.

1055700765729 is the 1027473-rd square number.

1055700765729 is the 513737-th centered octagonal number.

It is an amenable number.

1055700765729 is a deficient number, since it is larger than the sum of its proper divisors (484902177618).

1055700765729 is an frugal number, since it uses more digits than its factorization.

1055700765729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6990 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 4630500, while the sum is 54.

It can be divided in two parts, 1055 and 700765729, that added together give a square (700766784 = 26472²).

The spelling of 1055700765729 in words is "one trillion, fifty-five billion, seven hundred million, seven hundred sixty-five thousand, seven hundred twenty-nine".