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1256200513 is a prime number
BaseRepresentation
bin100101011100000…
…0001100101000001
310020112202121010221
41022320001211001
510033041404023
6324352423041
743062346111
oct11270014501
93215677127
101256200513
11595102047
122b0847a81
13170340c19
14bcb9d041
157543c85d
hex4ae01941

1256200513 has 2 divisors, whose sum is σ = 1256200514. Its totient is φ = 1256200512.

The previous prime is 1256200471. The next prime is 1256200573. The reversal of 1256200513 is 3150026521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1223390529 + 32809984 = 34977^2 + 5728^2 .

It is a cyclic number.

It is not a de Polignac number, because 1256200513 - 225 = 1222646081 is a prime.

It is a super-2 number, since 2×12562005132 = 3156079457722926338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1256200573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 628100256 + 628100257.

It is an arithmetic number, because the mean of its divisors is an integer number (628100257).

Almost surely, 21256200513 is an apocalyptic number.

It is an amenable number.

1256200513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1256200513 is an equidigital number, since it uses as much as digits as its factorization.

1256200513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1256200513 is about 35442.9190812495. The cubic root of 1256200513 is about 1078.9955547394.

The spelling of 1256200513 in words is "one billion, two hundred fifty-six million, two hundred thousand, five hundred thirteen".