61772264954977 has 2 divisors, whose sum is σ = 61772264954978. Its totient is φ = 61772264954976.

The previous prime is 61772264954971. The next prime is 61772264954993. The reversal of 61772264954977 is 77945946227716.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 37902356807121 + 23869908147856 = 6156489^2 + 4885684^2 .

It is a cyclic number.

It is not a de Polignac number, because 61772264954977 - 2⁷ = 61772264954849 is a prime.

It is not a weakly prime, because it can be changed into another prime (61772264954971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30886132477488 + 30886132477489.

It is an arithmetic number, because the mean of its divisors is an integer number (30886132477489).

Almost surely, 2^{61772264954977} is an apocalyptic number.

It is an amenable number.

61772264954977 is a deficient number, since it is larger than the sum of its proper divisors (1).

61772264954977 is an equidigital number, since it uses as much as digits as its factorization.

61772264954977 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2240421120, while the sum is 76.

The spelling of 61772264954977 in words is "sixty-one trillion, seven hundred seventy-two billion, two hundred sixty-four million, nine hundred fifty-four thousand, nine hundred seventy-seven".