1052948933689 has 27 divisors (see below), whose sum is σ = 1133759912943. Its totient is φ = 977748776784.

The previous prime is 1052948933609. The next prime is 1052948933711. The reversal of 1052948933689 is 9863398492501.

The square root of 1052948933689 is 1026133.

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

1052948933689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 759067850025 + 293881083664 = 871245^2 + 542108^2 .

It is not a de Polignac number, because 1052948933689 - 2¹⁵ = 1052948900921 is a prime.

It is a super-2 number, since 2×1052948933689² (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 (1052948933609) 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, 1033315422 + ... + 1033316440.

Almost surely, 2^{1052948933689} is an apocalyptic number.

1052948933689 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1052948933689 is the 1026133-rd square number.

1052948933689 is the 513067-th centered octagonal number.

It is an amenable number.

1052948933689 is a deficient number, since it is larger than the sum of its proper divisors (80810979254).

1052948933689 is an frugal number, since it uses more digits than its factorization.

1052948933689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2182 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 67.

The spelling of 1052948933689 in words is "one trillion, fifty-two billion, nine hundred forty-eight million, nine hundred thirty-three thousand, six hundred eighty-nine".