1061302505201 has 2 divisors, whose sum is σ = 1061302505202. Its totient is φ = 1061302505200.

The previous prime is 1061302505177. The next prime is 1061302505213. The reversal of 1061302505201 is 1025052031601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 797491864576 + 263810640625 = 893024^2 + 513625^2 .

It is a cyclic number.

It is not a de Polignac number, because 1061302505201 - 2²⁶ = 1061235396337 is a prime.

It is a super-2 number, since 2×1061302505201² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1061302505231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 530651252600 + 530651252601.

It is an arithmetic number, because the mean of its divisors is an integer number (530651252601).

Almost surely, 2^{1061302505201} is an apocalyptic number.

It is an amenable number.

1061302505201 is a deficient number, since it is larger than the sum of its proper divisors (1).

1061302505201 is an equidigital number, since it uses as much as digits as its factorization.

1061302505201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 1061302505201 its reverse (1025052031601), we get a palindrome (2086354536802).

The spelling of 1061302505201 in words is "one trillion, sixty-one billion, three hundred two million, five hundred five thousand, two hundred one".