142657607172097 has 2 divisors, whose sum is σ = 142657607172098. Its totient is φ = 142657607172096.

The previous prime is 142657607172077. The next prime is 142657607172103. The reversal of 142657607172097 is 790271706756241.

It is a Cunningham number, because it is equal to 3456⁴+1.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142657607172096 + 1 = 11943936^2 + 1^2 .

It is a cyclic number.

It is not a de Polignac number, because 142657607172097 - 2²³ = 142657598783489 is a prime.

It is not a weakly prime, because it can be changed into another prime (142657607172077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a Pierpont prime, being equal to 2²⁸ ⋅ 3¹² + 1.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 71328803586048 + 71328803586049.

It is an arithmetic number, because the mean of its divisors is an integer number (71328803586049).

It is a Proth number, since it is equal to 531441 ⋅ 2²⁸ + 1 and 531441 < 2²⁸.

Almost surely, 2^{142657607172097} is an apocalyptic number.

It is an amenable number.

142657607172097 is a deficient number, since it is larger than the sum of its proper divisors (1).

142657607172097 is an equidigital number, since it uses as much as digits as its factorization.

142657607172097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 62233920, while the sum is 64.

The spelling of 142657607172097 in words is "one hundred forty-two trillion, six hundred fifty-seven billion, six hundred seven million, one hundred seventy-two thousand, ninety-seven".