10406145061057 has 2 divisors, whose sum is σ = 10406145061058. Its totient is φ = 10406145061056.

The previous prime is 10406145061021. The next prime is 10406145061073. The reversal of 10406145061057 is 75016054160401.

10406145061057 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., 9030018990001 + 1376126071056 = 3004999^2 + 1173084^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10406145061057 is a prime.

It is not a weakly prime, because it can be changed into another prime (10406145061457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203072530528 + 5203072530529.

It is an arithmetic number, because the mean of its divisors is an integer number (5203072530529).

Almost surely, 2^{10406145061057} is an apocalyptic number.

It is an amenable number.

10406145061057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406145061057 is an equidigital number, since it uses as much as digits as its factorization.

10406145061057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 10406145061057 in words is "ten trillion, four hundred six billion, one hundred forty-five million, sixty-one thousand, fifty-seven".