61595483261841 has 21 divisors (see below), whose sum is σ = 92351296044651. Its totient is φ = 41063514238872.

The previous prime is 61595483261839. The next prime is 61595483261863. The reversal of 61595483261841 is 14816238459516.

It is a happy number.

The square root of 61595483261841 is 7848279.

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

61595483261841 is a `hidden beast` number, since 6 + 1 + 5 + 9 + 5 + 4 + 8 + 3 + 2 + 618 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44852688756225 + 16742794505616 = 6697215^2 + 4091796^2 .

It is not a de Polignac number, because 61595483261841 - 2¹ = 61595483261839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61595483261821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 211758195 + ... + 212048871.

It is an arithmetic number, because the mean of its divisors is an integer number (4397680764031).

Almost surely, 2^{61595483261841} is an apocalyptic number.

61595483261841 is the 7848279-th square number.

61595483261841 is the 3924140-th centered octagonal number.

It is an amenable number.

61595483261841 is a deficient number, since it is larger than the sum of its proper divisors (30755812782810).

61595483261841 is an frugal number, since it uses more digits than its factorization.

61595483261841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581372 (or 290680 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 61595483261841 in words is "sixty-one trillion, five hundred ninety-five billion, four hundred eighty-three million, two hundred sixty-one thousand, eight hundred forty-one".