82541199260153 has 2 divisors, whose sum is σ = 82541199260154. Its totient is φ = 82541199260152.

The previous prime is 82541199260089. The next prime is 82541199260207. The reversal of 82541199260153 is 35106299114528.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67356211368889 + 15184987891264 = 8207083^2 + 3896792^2 .

It is a cyclic number.

It is not a de Polignac number, because 82541199260153 - 2⁶ = 82541199260089 is a prime.

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 (82541199262153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41270599630076 + 41270599630077.

It is an arithmetic number, because the mean of its divisors is an integer number (41270599630077).

Almost surely, 2^{82541199260153} is an apocalyptic number.

It is an amenable number.

82541199260153 is a deficient number, since it is larger than the sum of its proper divisors (1).

82541199260153 is an equidigital number, since it uses as much as digits as its factorization.

82541199260153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4665600, while the sum is 56.

The spelling of 82541199260153 in words is "eighty-two trillion, five hundred forty-one billion, one hundred ninety-nine million, two hundred sixty thousand, one hundred fifty-three".