2052838469529 has 45 divisors (see below), whose sum is σ = 3082015492941. Its totient is φ = 1361707459200.

The previous prime is 2052838469501. The next prime is 2052838469573. The reversal of 2052838469529 is 9259648382502.

The square root of 2052838469529 is 1432773.

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

2052838469529 is a `hidden beast` number, since 2 + 0 + 5 + 28 + 3 + 84 + 6 + 9 + 529 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1177214150025 + 875624319504 = 1084995^2 + 935748^2 .

It is not a de Polignac number, because 2052838469529 - 2⁵ = 2052838469497 is a prime.

It is a super-2 number, since 2×2052838469529² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2052838469029) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5119297729 + ... + 5119298129.

Almost surely, 2^{2052838469529} is an apocalyptic number.

2052838469529 is the 1432773-rd square number.

2052838469529 is the 716387-th centered octagonal number.

It is an amenable number.

2052838469529 is a deficient number, since it is larger than the sum of its proper divisors (1029177023412).

2052838469529 is an frugal number, since it uses more digits than its factorization.

2052838469529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 2052838469529 in words is "two trillion, fifty-two billion, eight hundred thirty-eight million, four hundred sixty-nine thousand, five hundred twenty-nine".