36880345180561 has 27 divisors (see below), whose sum is σ = 38426955885201. Its totient is φ = 35394526599264.

The previous prime is 36880345180559. The next prime is 36880345180589. The reversal of 36880345180561 is 16508154308863.

The square root of 36880345180561 is 6072919.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14120346867025 + 22759998313536 = 3757705^2 + 4770744^2 .

It is not a de Polignac number, because 36880345180561 - 2¹ = 36880345180559 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 36880345180496 and 36880345180505.

It is not an unprimeable number, because it can be changed into a prime (36880345180661) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34694585716 + ... + 34694586778.

Almost surely, 2^{36880345180561} is an apocalyptic number.

36880345180561 is the 6072919-th square number.

36880345180561 is the 3036460-th centered octagonal number.

It is an amenable number.

36880345180561 is a deficient number, since it is larger than the sum of its proper divisors (1546610704640).

36880345180561 is an frugal number, since it uses more digits than its factorization.

36880345180561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 58.

The spelling of 36880345180561 in words is "thirty-six trillion, eight hundred eighty billion, three hundred forty-five million, one hundred eighty thousand, five hundred sixty-one".