1057509301 has 2 divisors, whose sum is σ = 1057509302. Its totient is φ = 1057509300.

The previous prime is 1057509251. The next prime is 1057509311. The reversal of 1057509301 is 1039057501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 594140625 + 463368676 = 24375^2 + 21526^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1057509301 is a prime.

It is a super-2 number, since 2×1057509301² = 2236651843403017202, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057509311) 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, 528754650 + 528754651.

It is an arithmetic number, because the mean of its divisors is an integer number (528754651).

Almost surely, 2^1057509301 is an apocalyptic number.

It is an amenable number.

1057509301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057509301 is an equidigital number, since it uses as much as digits as its factorization.

1057509301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4725, while the sum is 31.

The square root of 1057509301 is about 32519.3680904165. The cubic root of 1057509301 is about 1018.8135959095.

The spelling of 1057509301 in words is "one billion, fifty-seven million, five hundred nine thousand, three hundred one".