33137246157097 has 2 divisors, whose sum is σ = 33137246157098. Its totient is φ = 33137246157096.

The previous prime is 33137246157061. The next prime is 33137246157121. The reversal of 33137246157097 is 79075164273133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20301728993536 + 12835517163561 = 4505744^2 + 3582669^2 .

It is a cyclic number.

It is not a de Polignac number, because 33137246157097 - 2³⁹ = 32587490343209 is a prime.

It is not a weakly prime, because it can be changed into another prime (33137246157017) 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, 16568623078548 + 16568623078549.

It is an arithmetic number, because the mean of its divisors is an integer number (16568623078549).

Almost surely, 2^{33137246157097} is an apocalyptic number.

It is an amenable number.

33137246157097 is a deficient number, since it is larger than the sum of its proper divisors (1).

33137246157097 is an equidigital number, since it uses as much as digits as its factorization.

33137246157097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 20003760, while the sum is 58.

The spelling of 33137246157097 in words is "thirty-three trillion, one hundred thirty-seven billion, two hundred forty-six million, one hundred fifty-seven thousand, ninety-seven".