61741813441 has 45 divisors (see below), whose sum is σ = 79343195939. Its totient is φ = 48006142800.

The previous prime is 61741813439. The next prime is 61741813513. The reversal of 61741813441 is 14431814716.

The square root of 61741813441 is 248479.

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

It can be written as a sum of positive squares in only one way, i.e., 19790581041 + 41951232400 = 140679^2 + 204820^2 .

It is not a de Polignac number, because 61741813441 - 2¹ = 61741813439 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61741813394 and 61741813403.

It is not an unprimeable number, because it can be changed into a prime (61741813141) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 133929951 + ... + 133930411.

Almost surely, 2^61741813441 is an apocalyptic number.

61741813441 is the 248479-th square number.

61741813441 is the 124240-th centered octagonal number.

It is an amenable number.

61741813441 is a deficient number, since it is larger than the sum of its proper divisors (17601382498).

61741813441 is an frugal number, since it uses more digits than its factorization.

61741813441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 479 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The spelling of 61741813441 in words is "sixty-one billion, seven hundred forty-one million, eight hundred thirteen thousand, four hundred forty-one".