61777599601 has 9 divisors (see below), whose sum is σ = 62139351051. Its totient is φ = 61417946304.

The previous prime is 61777599577. The next prime is 61777599613. The reversal of 61777599601 is 10699577716.

The square root of 61777599601 is 248551.

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., 25281318001 + 36496281600 = 159001^2 + 191040^2 .

It is not a de Polignac number, because 61777599601 - 2¹³ = 61777591409 is a prime.

It is a super-2 number, since 2×61777599601² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61777593601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49461025 + ... + 49462273.

It is an arithmetic number, because the mean of its divisors is an integer number (6904372339).

Almost surely, 2^61777599601 is an apocalyptic number.

61777599601 is the 248551-st square number.

61777599601 is the 124276-th centered octagonal number.

It is an amenable number.

61777599601 is a deficient number, since it is larger than the sum of its proper divisors (361751450).

61777599601 is an frugal number, since it uses more digits than its factorization.

61777599601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2896 (or 1448 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 58.

The spelling of 61777599601 in words is "sixty-one billion, seven hundred seventy-seven million, five hundred ninety-nine thousand, six hundred one".