5785294909657 has 2 divisors, whose sum is σ = 5785294909658. Its totient is φ = 5785294909656.

The previous prime is 5785294909633. The next prime is 5785294909697. The reversal of 5785294909657 is 7569094925875.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4400580235536 + 1384714674121 = 2097756^2 + 1176739^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-5785294909657 is a prime.

It is not a weakly prime, because it can be changed into another prime (5785294909627) 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, 2892647454828 + 2892647454829.

It is an arithmetic number, because the mean of its divisors is an integer number (2892647454829).

Almost surely, 2^{5785294909657} is an apocalyptic number.

It is an amenable number.

5785294909657 is a deficient number, since it is larger than the sum of its proper divisors (1).

5785294909657 is an equidigital number, since it uses as much as digits as its factorization.

5785294909657 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1714608000, while the sum is 76.

The spelling of 5785294909657 in words is "five trillion, seven hundred eighty-five billion, two hundred ninety-four million, nine hundred nine thousand, six hundred fifty-seven".