153364331504561 has 2 divisors, whose sum is σ = 153364331504562. Its totient is φ = 153364331504560.

The previous prime is 153364331504429. The next prime is 153364331504569. The reversal of 153364331504561 is 165405133463351.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139727884629025 + 13636446875536 = 11820655^2 + 3692756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-153364331504561 is a prime.

It is not a weakly prime, because it can be changed into another prime (153364331504569) 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, 76682165752280 + 76682165752281.

It is an arithmetic number, because the mean of its divisors is an integer number (76682165752281).

Almost surely, 2^{153364331504561} is an apocalyptic number.

It is an amenable number.

153364331504561 is a deficient number, since it is larger than the sum of its proper divisors (1).

153364331504561 is an equidigital number, since it uses as much as digits as its factorization.

153364331504561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5832000, while the sum is 50.

The spelling of 153364331504561 in words is "one hundred fifty-three trillion, three hundred sixty-four billion, three hundred thirty-one million, five hundred four thousand, five hundred sixty-one".