5252045841 has 135 divisors (see below), whose sum is σ = 9736726961. Its totient is φ = 2727228672.

The previous prime is 5252045831. The next prime is 5252045881. The reversal of 5252045841 is 1485402525.

The square root of 5252045841 is 72471.

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

5252045841 is a `hidden beast` number, since 52 + 5 + 20 + 4 + 584 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 519156225 + 4732889616 = 22785^2 + 68796^2 .

It is not a de Polignac number, because 5252045841 - 2⁷ = 5252045713 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5252045796 and 5252045805.

It is not an unprimeable number, because it can be changed into a prime (5252045831) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 181105015 + ... + 181105043.

Almost surely, 2^5252045841 is an apocalyptic number.

5252045841 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

5252045841 is the 72471-st square number.

5252045841 is the 36236-th centered octagonal number.

It is an amenable number.

5252045841 is a deficient number, since it is larger than the sum of its proper divisors (4484681120).

5252045841 is an equidigital number, since it uses as much as digits as its factorization.

5252045841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The cubic root of 5252045841 is about 1738.2390517859.

Multiplying 5252045841 by its sum of digits (36), we get a square (189073650276 = 434826²).

The spelling of 5252045841 in words is "five billion, two hundred fifty-two million, forty-five thousand, eight hundred forty-one".