61936947220009 has 9 divisors (see below), whose sum is σ = 62641395706327. Its totient is φ = 61240333904464.

The previous prime is 61936947219977. The next prime is 61936947220051. The reversal of 61936947220009 is 90002274963916.

The square root of 61936947220009 is 7870003.

It is a perfect power (a square), and thus also a powerful number.

61936947220009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11893207514409 + 50043739705600 = 3448653^2 + 7074160^2 .

It is not a de Polignac number, because 61936947220009 - 2⁵ = 61936947219977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61936947220069) 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 in 8 ways as a sum of consecutive naturals, for example, 700386054 + ... + 700474480.

Almost surely, 2^{61936947220009} is an apocalyptic number.

61936947220009 is the 7870003-rd square number.

61936947220009 is the 3935002-nd centered octagonal number.

It is an amenable number.

61936947220009 is a deficient number, since it is larger than the sum of its proper divisors (704448486318).

61936947220009 is an frugal number, since it uses more digits than its factorization.

61936947220009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177032 (or 88516 counting only the distinct ones).

The product of its (nonzero) digits is 8817984, while the sum is 58.

The spelling of 61936947220009 in words is "sixty-one trillion, nine hundred thirty-six billion, nine hundred forty-seven million, two hundred twenty thousand, nine".