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2947578063253 is a prime number
BaseRepresentation
bin101010111001001001010…
…101111110100110010101
3101102210012210010222012021
4222321021111332212111
5341243114441011003
610134033151253141
7422645506101205
oct52711125764625
911383183128167
102947578063253
11a37073a7880a
123b7315b1a1b1
13184c56093715
14a2940a76405
1551a174432bd
hex2ae4957e995

2947578063253 has 2 divisors, whose sum is σ = 2947578063254. Its totient is φ = 2947578063252.

The previous prime is 2947578063247. The next prime is 2947578063307. The reversal of 2947578063253 is 3523608757492.

2947578063253 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1755513701764 + 1192064361489 = 1324958^2 + 1091817^2 .

It is a cyclic number.

It is not a de Polignac number, because 2947578063253 - 213 = 2947578055061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2947578063191 and 2947578063200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2947578060253) 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, 1473789031626 + 1473789031627.

It is an arithmetic number, because the mean of its divisors is an integer number (1473789031627).

Almost surely, 22947578063253 is an apocalyptic number.

It is an amenable number.

2947578063253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2947578063253 is an equidigital number, since it uses as much as digits as its factorization.

2947578063253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 76204800, while the sum is 61.

The spelling of 2947578063253 in words is "two trillion, nine hundred forty-seven billion, five hundred seventy-eight million, sixty-three thousand, two hundred fifty-three".