10437006777677 has 2 divisors, whose sum is σ = 10437006777678. Its totient is φ = 10437006777676.

The previous prime is 10437006777647. The next prime is 10437006777683. The reversal of 10437006777677 is 77677760073401.

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., 10436944351876 + 62425801 = 3230626^2 + 7901^2 .

It is an emirp because it is prime and its reverse (77677760073401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10437006777677 - 2¹⁶ = 10437006712141 is a prime.

It is a super-2 number, since 2×10437006777677² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10437006777647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5218503388838 + 5218503388839.

It is an arithmetic number, because the mean of its divisors is an integer number (5218503388839).

Almost surely, 2^{10437006777677} is an apocalyptic number.

It is an amenable number.

10437006777677 is a deficient number, since it is larger than the sum of its proper divisors (1).

10437006777677 is an equidigital number, since it uses as much as digits as its factorization.

10437006777677 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50824368, while the sum is 62.

The spelling of 10437006777677 in words is "ten trillion, four hundred thirty-seven billion, six million, seven hundred seventy-seven thousand, six hundred seventy-seven".