10606401022057 has 2 divisors, whose sum is σ = 10606401022058. Its totient is φ = 10606401022056.

The previous prime is 10606401021991. The next prime is 10606401022081. The reversal of 10606401022057 is 75022010460601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7383887763561 + 3222513258496 = 2717331^2 + 1795136^2 .

It is a cyclic number.

It is not a de Polignac number, because 10606401022057 - 2³¹ = 10604253538409 is a prime.

It is a super-2 number, since 2×10606401022057² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10606401022157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5303200511028 + 5303200511029.

It is an arithmetic number, because the mean of its divisors is an integer number (5303200511029).

Almost surely, 2^{10606401022057} is an apocalyptic number.

It is an amenable number.

10606401022057 is a deficient number, since it is larger than the sum of its proper divisors (1).

10606401022057 is an equidigital number, since it uses as much as digits as its factorization.

10606401022057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 34.

Adding to 10606401022057 its reverse (75022010460601), we get a palindrome (85628411482658).

The spelling of 10606401022057 in words is "ten trillion, six hundred six billion, four hundred one million, twenty-two thousand, fifty-seven".