1057123517 has 2 divisors, whose sum is σ = 1057123518. Its totient is φ = 1057123516.

The previous prime is 1057123511. The next prime is 1057123519. The reversal of 1057123517 is 7153217501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 628053721 + 429069796 = 25061^2 + 20714^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057123517 - 2⁶ = 1057123453 is a prime.

It is a super-2 number, since 2×1057123517² = 2235020260388898578, which contains 22 as substring.

Together with 1057123519, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057123511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528561758 + 528561759.

It is an arithmetic number, because the mean of its divisors is an integer number (528561759).

Almost surely, 2^1057123517 is an apocalyptic number.

It is an amenable number.

1057123517 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057123517 is an equidigital number, since it uses as much as digits as its factorization.

1057123517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7350, while the sum is 32.

The square root of 1057123517 is about 32513.4359457748. The cubic root of 1057123517 is about 1018.6896916286.

The spelling of 1057123517 in words is "one billion, fifty-seven million, one hundred twenty-three thousand, five hundred seventeen".