2057531811689 has 2 divisors, whose sum is σ = 2057531811690. Its totient is φ = 2057531811688.

The previous prime is 2057531811667. The next prime is 2057531811701. The reversal of 2057531811689 is 9861181357502.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1914163562089 + 143368249600 = 1383533^2 + 378640^2 .

It is a cyclic number.

It is not a de Polignac number, because 2057531811689 - 2³⁶ = 1988812334953 is a prime.

It is a super-2 number, since 2×2057531811689² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2057531816689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1028765905844 + 1028765905845.

It is an arithmetic number, because the mean of its divisors is an integer number (1028765905845).

Almost surely, 2^{2057531811689} is an apocalyptic number.

It is an amenable number.

2057531811689 is a deficient number, since it is larger than the sum of its proper divisors (1).

2057531811689 is an equidigital number, since it uses as much as digits as its factorization.

2057531811689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3628800, while the sum is 56.

The spelling of 2057531811689 in words is "two trillion, fifty-seven billion, five hundred thirty-one million, eight hundred eleven thousand, six hundred eighty-nine".