161653262561503 has 2 divisors, whose sum is σ = 161653262561504. Its totient is φ = 161653262561502.

The previous prime is 161653262561489. The next prime is 161653262561513. The reversal of 161653262561503 is 305165262356161.

161653262561503 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (305165262356161) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 161653262561503 - 2³⁷ = 161515823608031 is a prime.

It is a super-2 number, since 2×161653262561503² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (161653262561513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 80826631280751 + 80826631280752.

It is an arithmetic number, because the mean of its divisors is an integer number (80826631280752).

Almost surely, 2^{161653262561503} is an apocalyptic number.

161653262561503 is a deficient number, since it is larger than the sum of its proper divisors (1).

161653262561503 is an equidigital number, since it uses as much as digits as its factorization.

161653262561503 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5832000, while the sum is 52.

The spelling of 161653262561503 in words is "one hundred sixty-one trillion, six hundred fifty-three billion, two hundred sixty-two million, five hundred sixty-one thousand, five hundred three".