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242505235513 is a prime number
BaseRepresentation
bin1110000111011001110…
…0000011110000111001
3212011221121101101001101
43201312130003300321
512433122320014023
6303223320451401
723343335330302
oct3416634036071
9764847341041
10242505235513
1193933979812
123abba619b61
1319b39414bc8
14ba472a37a9
156494d6d1ad
hex3876703c39

242505235513 has 2 divisors, whose sum is σ = 242505235514. Its totient is φ = 242505235512.

The previous prime is 242505235499. The next prime is 242505235537. The reversal of 242505235513 is 315532505242.

242505235513 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 145041390649 + 97463844864 = 380843^2 + 312192^2 .

It is a cyclic number.

It is not a de Polignac number, because 242505235513 - 217 = 242505104441 is a prime.

It is not a weakly prime, because it can be changed into another prime (242505235573) 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, 121252617756 + 121252617757.

It is an arithmetic number, because the mean of its divisors is an integer number (121252617757).

Almost surely, 2242505235513 is an apocalyptic number.

It is an amenable number.

242505235513 is a deficient number, since it is larger than the sum of its proper divisors (1).

242505235513 is an equidigital number, since it uses as much as digits as its factorization.

242505235513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180000, while the sum is 37.

The spelling of 242505235513 in words is "two hundred forty-two billion, five hundred five million, two hundred thirty-five thousand, five hundred thirteen".