61784338257 has 12 divisors (see below), whose sum is σ = 89283719824. Its totient is φ = 41171247000.

The previous prime is 61784338241. The next prime is 61784338261. The reversal of 61784338257 is 75283348716.

It is a happy number.

61784338257 is a `hidden beast` number, since 6 + 178 + 43 + 382 + 57 = 666.

It is not a de Polignac number, because 61784338257 - 2⁴ = 61784338241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61784337257) 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 in 11 ways as a sum of consecutive naturals, for example, 1504603 + ... + 1545120.

Almost surely, 2^61784338257 is an apocalyptic number.

It is an amenable number.

61784338257 is a deficient number, since it is larger than the sum of its proper divisors (27499381567).

61784338257 is a wasteful number, since it uses less digits than its factorization.

61784338257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051980 (or 3051977 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

It can be divided in two parts, 617843 and 38257, that added together give a square (656100 = 810²).

The spelling of 61784338257 in words is "sixty-one billion, seven hundred eighty-four million, three hundred thirty-eight thousand, two hundred fifty-seven".