1057732513 has 2 divisors, whose sum is σ = 1057732514. Its totient is φ = 1057732512.

The previous prime is 1057732463. The next prime is 1057732531. The reversal of 1057732513 is 3152377501.

Together with next prime (1057732531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1038966289 + 18766224 = 32233^2 + 4332^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057732513 - 2⁹ = 1057732001 is a prime.

It is a super-2 number, since 2×1057732513² = 2237596138114590338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057732583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528866256 + 528866257.

It is an arithmetic number, because the mean of its divisors is an integer number (528866257).

Almost surely, 2^1057732513 is an apocalyptic number.

It is an amenable number.

1057732513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057732513 is an equidigital number, since it uses as much as digits as its factorization.

1057732513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22050, while the sum is 34.

The square root of 1057732513 is about 32522.7998948430. The cubic root of 1057732513 is about 1018.8852723231.

The spelling of 1057732513 in words is "one billion, fifty-seven million, seven hundred thirty-two thousand, five hundred thirteen".