1010009837857 has 2 divisors, whose sum is σ = 1010009837858. Its totient is φ = 1010009837856.

The previous prime is 1010009837813. The next prime is 1010009837869. The reversal of 1010009837857 is 7587389000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 695996421696 + 314013416161 = 834264^2 + 560369^2 .

It is an emirp because it is prime and its reverse (7587389000101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1010009837857 - 2³¹ = 1007862354209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1010009837857.

It is not a weakly prime, because it can be changed into another prime (1010009837887) 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, 505004918928 + 505004918929.

It is an arithmetic number, because the mean of its divisors is an integer number (505004918929).

Almost surely, 2^{1010009837857} is an apocalyptic number.

It is an amenable number.

1010009837857 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010009837857 is an equidigital number, since it uses as much as digits as its factorization.

1010009837857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 49.

The spelling of 1010009837857 in words is "one trillion, ten billion, nine million, eight hundred thirty-seven thousand, eight hundred fifty-seven".