1008029368321 has 2 divisors, whose sum is σ = 1008029368322. Its totient is φ = 1008029368320.

The previous prime is 1008029368309. The next prime is 1008029368361. The reversal of 1008029368321 is 1238639208001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1007943713296 + 85655025 = 1003964^2 + 9255^2 .

It is a cyclic number.

It is not a de Polignac number, because 1008029368321 - 2⁵ = 1008029368289 is a prime.

It is a super-2 number, since 2×1008029368321² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1008029368361) 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, 504014684160 + 504014684161.

It is an arithmetic number, because the mean of its divisors is an integer number (504014684161).

Almost surely, 2^{1008029368321} is an apocalyptic number.

It is an amenable number.

1008029368321 is a deficient number, since it is larger than the sum of its proper divisors (1).

1008029368321 is an equidigital number, since it uses as much as digits as its factorization.

1008029368321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 124416, while the sum is 43.

The spelling of 1008029368321 in words is "one trillion, eight billion, twenty-nine million, three hundred sixty-eight thousand, three hundred twenty-one".