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213842561 is a prime number
BaseRepresentation
bin11001011111011…
…11101010000001
3112220101022211212
430233233222001
5414220430221
633115215505
75204426462
oct1457575201
9486338755
10213842561
11aa788099
125b747595
13353c2b7a
1420586d69
1513b90b5b
hexcbefa81

213842561 has 2 divisors, whose sum is σ = 213842562. Its totient is φ = 213842560.

The previous prime is 213842543. The next prime is 213842579. The reversal of 213842561 is 165248312.

It is a balanced prime because it is at equal distance from previous prime (213842543) and next prime (213842579).

It can be written as a sum of positive squares in only one way, i.e., 116208400 + 97634161 = 10780^2 + 9881^2 .

It is a cyclic number.

It is not a de Polignac number, because 213842561 - 218 = 213580417 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (213842501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106921280 + 106921281.

It is an arithmetic number, because the mean of its divisors is an integer number (106921281).

Almost surely, 2213842561 is an apocalyptic number.

It is an amenable number.

213842561 is a deficient number, since it is larger than the sum of its proper divisors (1).

213842561 is an equidigital number, since it uses as much as digits as its factorization.

213842561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 11520, while the sum is 32.

The square root of 213842561 is about 14623.3566940016. The cubic root of 213842561 is about 597.9956832759.

The spelling of 213842561 in words is "two hundred thirteen million, eight hundred forty-two thousand, five hundred sixty-one".