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245663346001 is a prime number
BaseRepresentation
bin1110010011001010101…
…1010010110101010001
3212111002200221000012111
43210302223102311101
513011104304033001
6304504534025321
723514523662433
oct3446253226521
9774080830174
10245663346001
1195204610987
123b7401a8241
131a2207a7b38
14bc668a6653
1565cc244851
hex3932ad2d51

245663346001 has 2 divisors, whose sum is σ = 245663346002. Its totient is φ = 245663346000.

The previous prime is 245663345923. The next prime is 245663346011. The reversal of 245663346001 is 100643366542.

It is a happy number.

245663346001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 213052403776 + 32610942225 = 461576^2 + 180585^2 .

It is a cyclic number.

It is not a de Polignac number, because 245663346001 - 29 = 245663345489 is a prime.

It is not a weakly prime, because it can be changed into another prime (245663346011) 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, 122831673000 + 122831673001.

It is an arithmetic number, because the mean of its divisors is an integer number (122831673001).

Almost surely, 2245663346001 is an apocalyptic number.

It is an amenable number.

245663346001 is a deficient number, since it is larger than the sum of its proper divisors (1).

245663346001 is an equidigital number, since it uses as much as digits as its factorization.

245663346001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 40.

The spelling of 245663346001 in words is "two hundred forty-five billion, six hundred sixty-three million, three hundred forty-six thousand, one".