61964258440201 has 32 divisors (see below), whose sum is σ = 68837095803168. Its totient is φ = 55406114242560.

The previous prime is 61964258440181. The next prime is 61964258440207. The reversal of 61964258440201 is 10204485246916.

61964258440201 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 16 ways, for example, as 16826822406601 + 45137436033600 = 4102051^2 + 6718440^2 .

It is a cyclic number.

It is not a de Polignac number, because 61964258440201 - 2⁹ = 61964258439689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61964258440207) 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 31 ways as a sum of consecutive naturals, for example, 444255465 + ... + 444394921.

It is an arithmetic number, because the mean of its divisors is an integer number (2151159243849).

Almost surely, 2^{61964258440201} is an apocalyptic number.

It is an amenable number.

61964258440201 is a deficient number, since it is larger than the sum of its proper divisors (6872837362967).

61964258440201 is a wasteful number, since it uses less digits than its factorization.

61964258440201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143581.

The product of its (nonzero) digits is 3317760, while the sum is 52.

The spelling of 61964258440201 in words is "sixty-one trillion, nine hundred sixty-four billion, two hundred fifty-eight million, four hundred forty thousand, two hundred one".