1057085114801 has 2 divisors, whose sum is σ = 1057085114802. Its totient is φ = 1057085114800.

The previous prime is 1057085114783. The next prime is 1057085114909. The reversal of 1057085114801 is 1084115807501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 702344563600 + 354740551201 = 838060^2 + 595601^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1057085114801 is a prime.

It is a super-2 number, since 2×1057085114801² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057085114401) 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, 528542557400 + 528542557401.

It is an arithmetic number, because the mean of its divisors is an integer number (528542557401).

Almost surely, 2^{1057085114801} is an apocalyptic number.

It is an amenable number.

1057085114801 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057085114801 is an equidigital number, since it uses as much as digits as its factorization.

1057085114801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44800, while the sum is 41.

The spelling of 1057085114801 in words is "one trillion, fifty-seven billion, eighty-five million, one hundred fourteen thousand, eight hundred one".