2153305562561 has 2 divisors, whose sum is σ = 2153305562562. Its totient is φ = 2153305562560.

The previous prime is 2153305562557. The next prime is 2153305562641. The reversal of 2153305562561 is 1652655033512.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1966288235536 + 187017327025 = 1402244^2 + 432455^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153305562561 - 2² = 2153305562557 is a prime.

It is a super-2 number, since 2×2153305562561² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2153305562461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076652781280 + 1076652781281.

It is an arithmetic number, because the mean of its divisors is an integer number (1076652781281).

Almost surely, 2^{2153305562561} is an apocalyptic number.

It is an amenable number.

2153305562561 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153305562561 is an equidigital number, since it uses as much as digits as its factorization.

2153305562561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 810000, while the sum is 44.

The spelling of 2153305562561 in words is "two trillion, one hundred fifty-three billion, three hundred five million, five hundred sixty-two thousand, five hundred sixty-one".