1053261163777 has 2 divisors, whose sum is σ = 1053261163778. Its totient is φ = 1053261163776.

The previous prime is 1053261163751. The next prime is 1053261163819. The reversal of 1053261163777 is 7773611623501.

1053261163777 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 582121694961 + 471139468816 = 762969^2 + 686396^2 .

It is an emirp because it is prime and its reverse (7773611623501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1053261163777 - 2¹⁵ = 1053261131009 is a prime.

It is a super-2 number, since 2×1053261163777² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053261163777.

It is not a weakly prime, because it can be changed into another prime (1053261163177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 526630581888 + 526630581889.

It is an arithmetic number, because the mean of its divisors is an integer number (526630581889).

Almost surely, 2^{1053261163777} is an apocalyptic number.

It is an amenable number.

1053261163777 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053261163777 is an equidigital number, since it uses as much as digits as its factorization.

1053261163777 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1111320, while the sum is 49.

The spelling of 1053261163777 in words is "one trillion, fifty-three billion, two hundred sixty-one million, one hundred sixty-three thousand, seven hundred seventy-seven".