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252463406089 is a prime number
BaseRepresentation
bin1110101100011111111…
…1011101110000001001
3220010122121102211222211
43223013333131300021
513114021112443324
6311551410545121
724145164354466
oct3530777356011
9803577384884
10252463406089
1198084013754
1240b195981a1
131aa65547c2b
14c30da5866d
156879217294
hex3ac7fddc09

252463406089 has 2 divisors, whose sum is σ = 252463406090. Its totient is φ = 252463406088.

The previous prime is 252463406087. The next prime is 252463406099. The reversal of 252463406089 is 980604364252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 184281318400 + 68182087689 = 429280^2 + 261117^2 .

It is a cyclic number.

It is not a de Polignac number, because 252463406089 - 21 = 252463406087 is a prime.

It is a super-3 number, since 3×2524634060893 (a number of 35 digits) contains 333 as substring.

Together with 252463406087, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (252463406087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 126231703044 + 126231703045.

It is an arithmetic number, because the mean of its divisors is an integer number (126231703045).

Almost surely, 2252463406089 is an apocalyptic number.

It is an amenable number.

252463406089 is a deficient number, since it is larger than the sum of its proper divisors (1).

252463406089 is an equidigital number, since it uses as much as digits as its factorization.

252463406089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2488320, while the sum is 49.

The spelling of 252463406089 in words is "two hundred fifty-two billion, four hundred sixty-three million, four hundred six thousand, eighty-nine".