252829218249 has 12 divisors (see below), whose sum is σ = 365220595012. Its totient is φ = 168542272800.

The previous prime is 252829218217. The next prime is 252829218283. The reversal of 252829218249 is 942812928252.

252829218249 is a `hidden beast` number, since 2 + 528 + 2 + 92 + 1 + 8 + 24 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 112833512649 + 139995705600 = 335907^2 + 374160^2 .

It is not a de Polignac number, because 252829218249 - 2⁵ = 252829218217 is a prime.

It is a super-2 number, since 2×252829218249² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252829218195 and 252829218204.

It is not an unprimeable number, because it can be changed into a prime (252829218209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 724942 + ... + 1015479.

Almost surely, 2^252829218249 is an apocalyptic number.

It is an amenable number.

252829218249 is a deficient number, since it is larger than the sum of its proper divisors (112391376763).

252829218249 is a wasteful number, since it uses less digits than its factorization.

252829218249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756568 (or 1756565 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 252829218249 in words is "two hundred fifty-two billion, eight hundred twenty-nine million, two hundred eighteen thousand, two hundred forty-nine".