61277536849 has 9 divisors (see below), whose sum is σ = 62146781019. Its totient is φ = 60420295440.

The previous prime is 61277536841. The next prime is 61277536919. The reversal of 61277536849 is 94863577216.

The square root of 61277536849 is 247543.

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., 34784115025 + 26493421824 = 186505^2 + 162768^2 .

It is not a de Polignac number, because 61277536849 - 2³ = 61277536841 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 61277536793 and 61277536802.

It is not an unprimeable number, because it can be changed into a prime (61277536841) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18068944 + ... + 18072334.

It is an arithmetic number, because the mean of its divisors is an integer number (6905197891).

Almost surely, 2^61277536849 is an apocalyptic number.

61277536849 is the 247543-rd square number.

61277536849 is the 123772-nd centered octagonal number.

It is an amenable number.

61277536849 is a deficient number, since it is larger than the sum of its proper divisors (869244170).

61277536849 is an frugal number, since it uses more digits than its factorization.

61277536849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6928 (or 3464 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 58.

The spelling of 61277536849 in words is "sixty-one billion, two hundred seventy-seven million, five hundred thirty-six thousand, eight hundred forty-nine".