1057038361 has 2 divisors, whose sum is σ = 1057038362. Its totient is φ = 1057038360.

The previous prime is 1057038331. The next prime is 1057038377. The reversal of 1057038361 is 1638307501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 530611225 + 526427136 = 23035^2 + 22944^2 .

It is an emirp because it is prime and its reverse (1638307501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1057038361 - 2⁵ = 1057038329 is a prime.

It is a super-2 number, since 2×1057038361² = 2234660193251132642, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057038331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528519180 + 528519181.

It is an arithmetic number, because the mean of its divisors is an integer number (528519181).

Almost surely, 2^1057038361 is an apocalyptic number.

It is an amenable number.

1057038361 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057038361 is an equidigital number, since it uses as much as digits as its factorization.

1057038361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 1057038361 is about 32512.1263684798. The cubic root of 1057038361 is about 1018.6623375659.

The spelling of 1057038361 in words is "one billion, fifty-seven million, thirty-eight thousand, three hundred sixty-one".