1055577737729 has 2 divisors, whose sum is σ = 1055577737730. Its totient is φ = 1055577737728.

The previous prime is 1055577737707. The next prime is 1055577737771. The reversal of 1055577737729 is 9277377755501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 993799641025 + 61778096704 = 996895^2 + 248552^2 .

It is a cyclic number.

It is not a de Polignac number, because 1055577737729 - 2²⁸ = 1055309302273 is a prime.

It is a super-2 number, since 2×1055577737729² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1055577737029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527788868864 + 527788868865.

It is an arithmetic number, because the mean of its divisors is an integer number (527788868865).

Almost surely, 2^{1055577737729} is an apocalyptic number.

It is an amenable number.

1055577737729 is a deficient number, since it is larger than the sum of its proper divisors (1).

1055577737729 is an equidigital number, since it uses as much as digits as its factorization.

1055577737729 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113447250, while the sum is 65.

The spelling of 1055577737729 in words is "one trillion, fifty-five billion, five hundred seventy-seven million, seven hundred thirty-seven thousand, seven hundred twenty-nine".