61864738510973 has 2 divisors, whose sum is σ = 61864738510974. Its totient is φ = 61864738510972.

The previous prime is 61864738510931. The next prime is 61864738511021. The reversal of 61864738510973 is 37901583746816.

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., 32353366752004 + 29511371758969 = 5688002^2 + 5432437^2 .

It is a cyclic number.

It is not a de Polignac number, because 61864738510973 - 2¹⁶ = 61864738445437 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (61864738510903) 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 as a sum of consecutive naturals, namely, 30932369255486 + 30932369255487.

It is an arithmetic number, because the mean of its divisors is an integer number (30932369255487).

Almost surely, 2^{61864738510973} is an apocalyptic number.

It is an amenable number.

61864738510973 is a deficient number, since it is larger than the sum of its proper divisors (1).

61864738510973 is an equidigital number, since it uses as much as digits as its factorization.

61864738510973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 182891520, while the sum is 68.

The spelling of 61864738510973 in words is "sixty-one trillion, eight hundred sixty-four billion, seven hundred thirty-eight million, five hundred ten thousand, nine hundred seventy-three".