2053617972053 has 2 divisors, whose sum is σ = 2053617972054. Its totient is φ = 2053617972052.

The previous prime is 2053617972017. The next prime is 2053617972059. The reversal of 2053617972053 is 3502797163502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1078426171729 + 975191800324 = 1038473^2 + 987518^2 .

It is a cyclic number.

It is not a de Polignac number, because 2053617972053 - 2¹⁰ = 2053617971029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2053617971992 and 2053617972010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2053617972059) 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, 1026808986026 + 1026808986027.

It is an arithmetic number, because the mean of its divisors is an integer number (1026808986027).

Almost surely, 2^{2053617972053} is an apocalyptic number.

It is an amenable number.

2053617972053 is a deficient number, since it is larger than the sum of its proper divisors (1).

2053617972053 is an equidigital number, since it uses as much as digits as its factorization.

2053617972053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2381400, while the sum is 50.

The spelling of 2053617972053 in words is "two trillion, fifty-three billion, six hundred seventeen million, nine hundred seventy-two thousand, fifty-three".