1057536000049 has 2 divisors, whose sum is σ = 1057536000050. Its totient is φ = 1057536000048.

The previous prime is 1057535999977. The next prime is 1057536000061. The reversal of 1057536000049 is 9400006357501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 583184232225 + 474351767824 = 763665^2 + 688732^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057536000049 - 2⁹ = 1057535999537 is a prime.

It is a super-2 number, since 2×1057536000049² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057535999975 and 1057536000020.

It is not a weakly prime, because it can be changed into another prime (1057536000749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528768000024 + 528768000025.

It is an arithmetic number, because the mean of its divisors is an integer number (528768000025).

Almost surely, 2^{1057536000049} is an apocalyptic number.

It is an amenable number.

1057536000049 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057536000049 is an equidigital number, since it uses as much as digits as its factorization.

1057536000049 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 113400, while the sum is 40.

The spelling of 1057536000049 in words is "one trillion, fifty-seven billion, five hundred thirty-six million, forty-nine", and thus it is an aban number.