35213552672257 has 2 divisors, whose sum is σ = 35213552672258. Its totient is φ = 35213552672256.

The previous prime is 35213552672201. The next prime is 35213552672297. The reversal of 35213552672257 is 75227625531253.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 26129844933696 + 9083707738561 = 5111736^2 + 3013919^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-35213552672257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 35213552672198 and 35213552672207.

It is not a weakly prime, because it can be changed into another prime (35213552672297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17606776336128 + 17606776336129.

It is an arithmetic number, because the mean of its divisors is an integer number (17606776336129).

Almost surely, 2^{35213552672257} is an apocalyptic number.

It is an amenable number.

35213552672257 is a deficient number, since it is larger than the sum of its proper divisors (1).

35213552672257 is an equidigital number, since it uses as much as digits as its factorization.

35213552672257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 26460000, while the sum is 55.

The spelling of 35213552672257 in words is "thirty-five trillion, two hundred thirteen billion, five hundred fifty-two million, six hundred seventy-two thousand, two hundred fifty-seven".