61111577201 has 2 divisors, whose sum is σ = 61111577202. Its totient is φ = 61111577200.

The previous prime is 61111577173. The next prime is 61111577239. The reversal of 61111577201 is 10277511116.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 59126785600 + 1984791601 = 243160^2 + 44551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61111577201 is a prime.

It is not a weakly prime, because it can be changed into another prime (61111577291) 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, 30555788600 + 30555788601.

It is an arithmetic number, because the mean of its divisors is an integer number (30555788601).

Almost surely, 2^61111577201 is an apocalyptic number.

It is an amenable number.

61111577201 is a deficient number, since it is larger than the sum of its proper divisors (1).

61111577201 is an equidigital number, since it uses as much as digits as its factorization.

61111577201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2940, while the sum is 32.

The spelling of 61111577201 in words is "sixty-one billion, one hundred eleven million, five hundred seventy-seven thousand, two hundred one".