1055510001001 has 2 divisors, whose sum is σ = 1055510001002. Its totient is φ = 1055510001000.

The previous prime is 1055510000999. The next prime is 1055510001061. The reversal of 1055510001001 is 1001000155501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1055501445376 + 8555625 = 1027376^2 + 2925^2 .

It is a cyclic number.

It is not a de Polignac number, because 1055510001001 - 2¹ = 1055510000999 is a prime.

It is a super-2 number, since 2×1055510001001² (a number of 25 digits) contains 22 as substring.

Together with 1055510000999, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1055510001001.

It is not a weakly prime, because it can be changed into another prime (1055510001061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527755000500 + 527755000501.

It is an arithmetic number, because the mean of its divisors is an integer number (527755000501).

Almost surely, 2^{1055510001001} is an apocalyptic number.

It is an amenable number.

1055510001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1055510001001 is an equidigital number, since it uses as much as digits as its factorization.

1055510001001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 125, while the sum is 19.

Adding to 1055510001001 its reverse (1001000155501), we get a palindrome (2056510156502).

The spelling of 1055510001001 in words is "one trillion, fifty-five billion, five hundred ten million, one thousand, one".