1057148688601 has 2 divisors, whose sum is σ = 1057148688602. Its totient is φ = 1057148688600.

The previous prime is 1057148688523. The next prime is 1057148688667. The reversal of 1057148688601 is 1068868417501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 542343873600 + 514804815001 = 736440^2 + 717499^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057148688601 - 2¹¹ = 1057148686553 is a prime.

It is a super-2 number, since 2×1057148688601² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057148388601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528574344300 + 528574344301.

It is an arithmetic number, because the mean of its divisors is an integer number (528574344301).

Almost surely, 2^{1057148688601} is an apocalyptic number.

It is an amenable number.

1057148688601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057148688601 is an equidigital number, since it uses as much as digits as its factorization.

1057148688601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2580480, while the sum is 55.

The spelling of 1057148688601 in words is "one trillion, fifty-seven billion, one hundred forty-eight million, six hundred eighty-eight thousand, six hundred one".