60771617361 has 225 divisors, whose sum is σ = 117408673899. Its totient is φ = 31309885152.

The previous prime is 60771617353. The next prime is 60771617369. The reversal of 60771617361 is 16371617706.

The square root of 60771617361 is 246519.

It is a perfect power (a square), and thus also a powerful number.

60771617361 is a `hidden beast` number, since 60 + 77 + 161 + 7 + 361 = 666.

It is an interprime number because it is at equal distance from previous prime (60771617353) and next prime (60771617369).

It can be written as a sum of positive squares in only one way, i.e., 8989884225 + 51781733136 = 94815^2 + 227556^2 .

It is not a de Polignac number, because 60771617361 - 2³ = 60771617353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (60771617369) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 1413293406 + ... + 1413293448.

Almost surely, 2^60771617361 is an apocalyptic number.

60771617361 is the 246519-th square number.

60771617361 is the 123260-th centered octagonal number.

It is an amenable number.

60771617361 is a deficient number, since it is larger than the sum of its proper divisors (56637056538).

60771617361 is an frugal number, since it uses more digits than its factorization.

60771617361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The spelling of 60771617361 in words is "sixty billion, seven hundred seventy-one million, six hundred seventeen thousand, three hundred sixty-one".