61277156606667 has 32 divisors (see below), whose sum is σ = 82765157529600. Its totient is φ = 40321941124608.

The previous prime is 61277156606579. The next prime is 61277156606711. The reversal of 61277156606667 is 76660665177216.

It is not a de Polignac number, because 61277156606667 - 2⁴⁴ = 43684970562251 is a prime.

It is a super-3 number, since 3×61277156606667³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 61277156606598 and 61277156606607.

It is not an unprimeable number, because it can be changed into a prime (61277156606867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 537042559 + ... + 537156647.

It is an arithmetic number, because the mean of its divisors is an integer number (2586411172800).

Almost surely, 2^{61277156606667} is an apocalyptic number.

61277156606667 is a deficient number, since it is larger than the sum of its proper divisors (21488000922933).

61277156606667 is a wasteful number, since it uses less digits than its factorization.

61277156606667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117675.

The product of its (nonzero) digits is 160030080, while the sum is 66.

The spelling of 61277156606667 in words is "sixty-one trillion, two hundred seventy-seven billion, one hundred fifty-six million, six hundred six thousand, six hundred sixty-seven".