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2053213 is a prime number
BaseRepresentation
bin111110101010001011101
310212022110221
413311101131
51011200323
6112001341
723311021
oct7652135
93768427
102053213
111182678
12830251
1356b726
143b6381
152a855d
hex1f545d

2053213 has 2 divisors, whose sum is σ = 2053214. Its totient is φ = 2053212.

The previous prime is 2053211. The next prime is 2053237. The reversal of 2053213 is 3123502.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1996569 + 56644 = 1413^2 + 238^2 .

It is a cyclic number.

It is not a de Polignac number, because 2053213 - 21 = 2053211 is a prime.

Together with 2053211, it forms a pair of twin primes.

It is equal to p152602 and since 2053213 and 152602 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2053211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1026606 + 1026607.

It is an arithmetic number, because the mean of its divisors is an integer number (1026607).

22053213 is an apocalyptic number.

It is an amenable number.

2053213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2053213 is an equidigital number, since it uses as much as digits as its factorization.

2053213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 2053213 is about 1432.9036952985. The cubic root of 2053213 is about 127.0997418450.

Adding to 2053213 its reverse (3123502), we get a palindrome (5176715).

The spelling of 2053213 in words is "two million, fifty-three thousand, two hundred thirteen".