1010095338629 has 16 divisors (see below), whose sum is σ = 1117257615600. Its totient is φ = 907144842240.

The previous prime is 1010095338619. The next prime is 1010095338661. The reversal of 1010095338629 is 9268335900101.

It can be written as a sum of positive squares in 8 ways, for example, as 211033729 + 1009884304900 = 14527^2 + 1004930^2 .

It is not a de Polignac number, because 1010095338629 - 2¹² = 1010095334533 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010095338619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10457447 + ... + 10553595.

It is an arithmetic number, because the mean of its divisors is an integer number (69828600975).

Almost surely, 2^{1010095338629} is an apocalyptic number.

It is an amenable number.

1010095338629 is a deficient number, since it is larger than the sum of its proper divisors (107162276971).

1010095338629 is a wasteful number, since it uses less digits than its factorization.

1010095338629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118040.

The product of its (nonzero) digits is 349920, while the sum is 47.

The spelling of 1010095338629 in words is "one trillion, ten billion, ninety-five million, three hundred thirty-eight thousand, six hundred twenty-nine".