61677120262221 has 6 divisors (see below), whose sum is σ = 89089173712110. Its totient is φ = 41118080174808.

The previous prime is 61677120262217. The next prime is 61677120262223. The reversal of 61677120262221 is 12226202177616.

61677120262221 is a `hidden beast` number, since 6 + 1 + 6 + 7 + 7 + 12 + 0 + 2 + 622 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58341931199721 + 3335189062500 = 7638189^2 + 1826250^2 .

It is not a de Polignac number, because 61677120262221 - 2² = 61677120262217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61677120262223) 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 5 ways as a sum of consecutive naturals, for example, 3426506681226 + ... + 3426506681243.

It is an arithmetic number, because the mean of its divisors is an integer number (14848195618685).

Almost surely, 2^{61677120262221} is an apocalyptic number.

It is an amenable number.

61677120262221 is a deficient number, since it is larger than the sum of its proper divisors (27412053449889).

61677120262221 is a wasteful number, since it uses less digits than its factorization.

61677120262221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6853013362475 (or 6853013362472 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 61677120262221 in words is "sixty-one trillion, six hundred seventy-seven billion, one hundred twenty million, two hundred sixty-two thousand, two hundred twenty-one".