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252423510241 = 725151500209
BaseRepresentation
bin1110101100010110011…
…1010001100011100001
3220010112211100221011211
43223011213101203201
513113430404311431
6311543423510121
724144201302200
oct3530547214341
9803484327154
10252423510241
1198063544381
1240b08158341
131aa5a1b9916
14c308631237
1568759862b1
hex3ac59d18e1

252423510241 has 6 divisors (see below), whose sum is σ = 293635511970. Its totient is φ = 216363008736.

The previous prime is 252423510239. The next prime is 252423510281. The reversal of 252423510241 is 142015324252.

It is a happy number.

252423510241 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., 214921251216 + 37502259025 = 463596^2 + 193655^2 .

It is not a de Polignac number, because 252423510241 - 21 = 252423510239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252423510211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2575750056 + ... + 2575750153.

It is an arithmetic number, because the mean of its divisors is an integer number (48939251995).

Almost surely, 2252423510241 is an apocalyptic number.

It is an amenable number.

252423510241 is a deficient number, since it is larger than the sum of its proper divisors (41212001729).

252423510241 is an equidigital number, since it uses as much as digits as its factorization.

252423510241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151500223 (or 5151500216 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 252423510241 its reverse (142015324252), we get a palindrome (394438834493).

The spelling of 252423510241 in words is "two hundred fifty-two billion, four hundred twenty-three million, five hundred ten thousand, two hundred forty-one".

Divisors: 1 7 49 5151500209 36060501463 252423510241