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7505820013 is a prime number
BaseRepresentation
bin1101111110110000…
…11011100101101101
3201101002112011101211
412333120123211231
5110332442220023
63240443434421
7354000263116
oct67730334555
921332464354
107505820013
11320192673a
121555825a11
13928048123
14512bc920d
152dde31a0d
hex1bf61b96d

7505820013 has 2 divisors, whose sum is σ = 7505820014. Its totient is φ = 7505820012.

The previous prime is 7505820001. The next prime is 7505820041. The reversal of 7505820013 is 3100285057.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6423541609 + 1082278404 = 80147^2 + 32898^2 .

It is an emirp because it is prime and its reverse (3100285057) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 7505820013 - 221 = 7503722861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (7505820083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3752910006 + 3752910007.

It is an arithmetic number, because the mean of its divisors is an integer number (3752910007).

Almost surely, 27505820013 is an apocalyptic number.

It is an amenable number.

7505820013 is a deficient number, since it is larger than the sum of its proper divisors (1).

7505820013 is an equidigital number, since it uses as much as digits as its factorization.

7505820013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 7505820013 is about 86636.1357229188. The cubic root of 7505820013 is about 1957.9400136840.

The spelling of 7505820013 in words is "seven billion, five hundred five million, eight hundred twenty thousand, thirteen".