1053577765001 has 2 divisors, whose sum is σ = 1053577765002. Its totient is φ = 1053577765000.

The previous prime is 1053577764983. The next prime is 1053577765043. The reversal of 1053577765001 is 1005677753501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 684837347401 + 368740417600 = 827549^2 + 607240^2 .

It is a cyclic number.

It is not a de Polignac number, because 1053577765001 - 2¹⁴ = 1053577748617 is a prime.

It is a super-2 number, since 2×1053577765001² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1053577765901) 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, 526788882500 + 526788882501.

It is an arithmetic number, because the mean of its divisors is an integer number (526788882501).

Almost surely, 2^{1053577765001} is an apocalyptic number.

It is an amenable number.

1053577765001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053577765001 is an equidigital number, since it uses as much as digits as its factorization.

1053577765001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 771750, while the sum is 47.

The spelling of 1053577765001 in words is "one trillion, fifty-three billion, five hundred seventy-seven million, seven hundred sixty-five thousand, one".