61761288041 has 2 divisors, whose sum is σ = 61761288042. Its totient is φ = 61761288040.

The previous prime is 61761287999. The next prime is 61761288053. The reversal of 61761288041 is 14088216716.

61761288041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 61268625625 + 492662416 = 247525^2 + 22196^2 .

It is a cyclic number.

It is not a de Polignac number, because 61761288041 - 2²² = 61757093737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61761287983 and 61761288001.

It is not a weakly prime, because it can be changed into another prime (61761288241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30880644020 + 30880644021.

It is an arithmetic number, because the mean of its divisors is an integer number (30880644021).

Almost surely, 2^61761288041 is an apocalyptic number.

It is an amenable number.

61761288041 is a deficient number, since it is larger than the sum of its proper divisors (1).

61761288041 is an equidigital number, since it uses as much as digits as its factorization.

61761288041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129024, while the sum is 44.

The spelling of 61761288041 in words is "sixty-one billion, seven hundred sixty-one million, two hundred eighty-eight thousand, forty-one".