61277660561801 has 2 divisors, whose sum is σ = 61277660561802. Its totient is φ = 61277660561800.

The previous prime is 61277660561713. The next prime is 61277660561827. The reversal of 61277660561801 is 10816506677216.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42720080323600 + 18557580238201 = 6536060^2 + 4307851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-61277660561801 is a prime.

It is not a weakly prime, because it can be changed into another prime (61277660501801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 30638830280900 + 30638830280901.

It is an arithmetic number, because the mean of its divisors is an integer number (30638830280901).

Almost surely, 2^{61277660561801} is an apocalyptic number.

It is an amenable number.

61277660561801 is a deficient number, since it is larger than the sum of its proper divisors (1).

61277660561801 is an equidigital number, since it uses as much as digits as its factorization.

61277660561801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5080320, while the sum is 56.

The spelling of 61277660561801 in words is "sixty-one trillion, two hundred seventy-seven billion, six hundred sixty million, five hundred sixty-one thousand, eight hundred one".