68541257 has 2 divisors, whose sum is σ = 68541258. Its totient is φ = 68541256.

The previous prime is 68541223. The next prime is 68541259. The reversal of 68541257 is 75214586.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61011721 + 7529536 = 7811^2 + 2744^2 .

It is a cyclic number.

It is not a de Polignac number, because 68541257 - 2⁸ = 68541001 is a prime.

It is a super-2 number, since 2×68541257² = 9395807822280098, which contains 22 as substring.

Together with 68541259, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 68541257.

It is not a weakly prime, because it can be changed into another prime (68541259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 34270628 + 34270629.

It is an arithmetic number, because the mean of its divisors is an integer number (34270629).

Almost surely, 2^68541257 is an apocalyptic number.

It is an amenable number.

68541257 is a deficient number, since it is larger than the sum of its proper divisors (1).

68541257 is an equidigital number, since it uses as much as digits as its factorization.

68541257 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 67200, while the sum is 38.

The square root of 68541257 is about 8278.9647299647. The cubic root of 68541257 is about 409.2456026521.

The spelling of 68541257 in words is "sixty-eight million, five hundred forty-one thousand, two hundred fifty-seven".