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2052404213 is a prime number
BaseRepresentation
bin111101001010101…
…0011001111110101
312022000221221021212
41322111103033311
513200403413323
6535354051205
7101601101516
oct17225231765
95260857255
102052404213
1196358a732
12493419b05
13269294b82
1415681aa0d
15c02b4b78
hex7a5533f5

2052404213 has 2 divisors, whose sum is σ = 2052404214. Its totient is φ = 2052404212.

The previous prime is 2052404183. The next prime is 2052404243. The reversal of 2052404213 is 3124042502.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (2052404183) and next prime (2052404243).

It can be written as a sum of positive squares in only one way, i.e., 1244537284 + 807866929 = 35278^2 + 28423^2 .

It is a cyclic number.

It is not a de Polignac number, because 2052404213 - 28 = 2052403957 is a prime.

It is a super-3 number, since 3×20524042133 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2052404243) 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 as a sum of consecutive naturals, namely, 1026202106 + 1026202107.

It is an arithmetic number, because the mean of its divisors is an integer number (1026202107).

Almost surely, 22052404213 is an apocalyptic number.

It is an amenable number.

2052404213 is a deficient number, since it is larger than the sum of its proper divisors (1).

2052404213 is an equidigital number, since it uses as much as digits as its factorization.

2052404213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2052404213 is about 45303.4680019091. The cubic root of 2052404213 is about 1270.8305091238.

Adding to 2052404213 its reverse (3124042502), we get a palindrome (5176446715).

The spelling of 2052404213 in words is "two billion, fifty-two million, four hundred four thousand, two hundred thirteen".