61885658828801 has 2 divisors, whose sum is σ = 61885658828802. Its totient is φ = 61885658828800.

The previous prime is 61885658828759. The next prime is 61885658828831. The reversal of 61885658828801 is 10882885658816.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42124513315600 + 19761145513201 = 6490340^2 + 4445351^2 .

It is a cyclic number.

It is not a de Polignac number, because 61885658828801 - 2³⁰ = 61884585086977 is a prime.

It is not a weakly prime, because it can be changed into another prime (61885658828831) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30942829414400 + 30942829414401.

It is an arithmetic number, because the mean of its divisors is an integer number (30942829414401).

Almost surely, 2^{61885658828801} is an apocalyptic number.

It is an amenable number.

61885658828801 is a deficient number, since it is larger than the sum of its proper divisors (1).

61885658828801 is an equidigital number, since it uses as much as digits as its factorization.

61885658828801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 471859200, while the sum is 74.

The spelling of 61885658828801 in words is "sixty-one trillion, eight hundred eighty-five billion, six hundred fifty-eight million, eight hundred twenty-eight thousand, eight hundred one".