61000001 has 2 divisors, whose sum is σ = 61000002. Its totient is φ = 61000000.

The previous prime is 60999959. The next prime is 61000003. The reversal of 61000001 is 10000016.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60855601 + 144400 = 7801^2 + 380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61000001 is a prime.

It is a Sophie Germain prime.

Together with 61000003, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (61000003) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30500000 + 30500001.

It is an arithmetic number, because the mean of its divisors is an integer number (30500001).

Almost surely, 2^61000001 is an apocalyptic number.

It is an amenable number.

61000001 is a deficient number, since it is larger than the sum of its proper divisors (1).

61000001 is an equidigital number, since it uses as much as digits as its factorization.

61000001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 61000001 is about 7810.2497399251. The cubic root of 61000001 is about 393.6497204613.

Adding to 61000001 its reverse (10000016), we get a palindrome (71000017).

It can be divided in two parts, 6 and 1000001, that multiplied together give a palindrome (6000006).

The spelling of 61000001 in words is "sixty-one million, one", and thus it is an aban number and an uban number.