163542406032461 has 2 divisors, whose sum is σ = 163542406032462. Its totient is φ = 163542406032460.

The previous prime is 163542406032391. The next prime is 163542406032463. The reversal of 163542406032461 is 164230604245361.

163542406032461 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 can be written as a sum of positive squares in only one way, i.e., 149723856268900 + 13818549763561 = 12236170^2 + 3717331^2 .

It is a cyclic number.

It is not a de Polignac number, because 163542406032461 - 2³⁸ = 163267528125517 is a prime.

It is a super-2 number, since 2×163542406032461² (a number of 29 digits) contains 22 as substring.

Together with 163542406032463, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (163542406032463) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81771203016230 + 81771203016231.

It is an arithmetic number, because the mean of its divisors is an integer number (81771203016231).

Almost surely, 2^{163542406032461} is an apocalyptic number.

It is an amenable number.

163542406032461 is a deficient number, since it is larger than the sum of its proper divisors (1).

163542406032461 is an equidigital number, since it uses as much as digits as its factorization.

163542406032461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2488320, while the sum is 47.

The spelling of 163542406032461 in words is "one hundred sixty-three trillion, five hundred forty-two billion, four hundred six million, thirty-two thousand, four hundred sixty-one".