1057580753 has 2 divisors, whose sum is σ = 1057580754. Its totient is φ = 1057580752.

The previous prime is 1057580707. The next prime is 1057580759. The reversal of 1057580753 is 3570857501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 795691264 + 261889489 = 28208^2 + 16183^2 .

It is an emirp because it is prime and its reverse (3570857501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1057580753 is a prime.

It is a super-3 number, since 3×1057580753³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1057580753.

It is not a weakly prime, because it can be changed into another prime (1057580759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528790376 + 528790377.

It is an arithmetic number, because the mean of its divisors is an integer number (528790377).

Almost surely, 2^1057580753 is an apocalyptic number.

It is an amenable number.

1057580753 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057580753 is an equidigital number, since it uses as much as digits as its factorization.

1057580753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 147000, while the sum is 41.

The square root of 1057580753 is about 32520.4666786933. The cubic root of 1057580753 is about 1018.8365412174.

The spelling of 1057580753 in words is "one billion, fifty-seven million, five hundred eighty thousand, seven hundred fifty-three".