61772265020513 has 2 divisors, whose sum is σ = 61772265020514. Its totient is φ = 61772265020512.

The previous prime is 61772265020489. The next prime is 61772265020519. The reversal of 61772265020513 is 31502056227716.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 49847723125264 + 11924541895249 = 7060292^2 + 3453193^2 .

It is a cyclic number.

It is not a de Polignac number, because 61772265020513 - 2¹⁶ = 61772264954977 is a prime.

It is not a weakly prime, because it can be changed into another prime (61772265020519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30886132510256 + 30886132510257.

It is an arithmetic number, because the mean of its divisors is an integer number (30886132510257).

Almost surely, 2^{61772265020513} is an apocalyptic number.

It is an amenable number.

61772265020513 is a deficient number, since it is larger than the sum of its proper divisors (1).

61772265020513 is an equidigital number, since it uses as much as digits as its factorization.

61772265020513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058400, while the sum is 47.

The spelling of 61772265020513 in words is "sixty-one trillion, seven hundred seventy-two billion, two hundred sixty-five million, twenty thousand, five hundred thirteen".