1010955844369 has 27 divisors (see below), whose sum is σ = 1050938127057. Its totient is φ = 972483813600.

The previous prime is 1010955844351. The next prime is 1010955844427. The reversal of 1010955844369 is 9634485590101.

The square root of 1010955844369 is 1005463.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 135818046225 + 875137798144 = 368535^2 + 935488^2 .

It is not a de Polignac number, because 1010955844369 - 2⁹ = 1010955843857 is a prime.

It is a super-2 number, since 2×1010955844369² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010955841369) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3250661724 + ... + 3250662034.

Almost surely, 2^{1010955844369} is an apocalyptic number.

1010955844369 is the 1005463-rd square number.

1010955844369 is the 502732-nd centered octagonal number.

It is an amenable number.

1010955844369 is a deficient number, since it is larger than the sum of its proper divisors (39982282688).

1010955844369 is an frugal number, since it uses more digits than its factorization.

1010955844369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 55.

The spelling of 1010955844369 in words is "one trillion, ten billion, nine hundred fifty-five million, eight hundred forty-four thousand, three hundred sixty-nine".