77735151162601 has 2 divisors, whose sum is σ = 77735151162602. Its totient is φ = 77735151162600.

The previous prime is 77735151162541. The next prime is 77735151162611. The reversal of 77735151162601 is 10626115153777.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59522536557225 + 18212614605376 = 7715085^2 + 4267624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-77735151162601 is a prime.

It is not a weakly prime, because it can be changed into another prime (77735151162611) 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, 38867575581300 + 38867575581301.

It is an arithmetic number, because the mean of its divisors is an integer number (38867575581301).

Almost surely, 2^{77735151162601} is an apocalyptic number.

It is an amenable number.

77735151162601 is a deficient number, since it is larger than the sum of its proper divisors (1).

77735151162601 is an equidigital number, since it uses as much as digits as its factorization.

77735151162601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1852200, while the sum is 52.

The spelling of 77735151162601 in words is "seventy-seven trillion, seven hundred thirty-five billion, one hundred fifty-one million, one hundred sixty-two thousand, six hundred one".