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261552403011461 is a prime number
BaseRepresentation
bin111011011110000101101010…
…000100100101011110000101
31021022002011110200011111220112
4323132011222010211132011
5233240233310132331321
62324135303140042405
7106043352241323002
oct7336055204453605
91238064420144815
10261552403011461
117637a82992a981
1225402736693405
13b2c3393ac4c53
1448832bd51c8a9
1520388a17eea5b
hexede16a125785

261552403011461 has 2 divisors, whose sum is σ = 261552403011462. Its totient is φ = 261552403011460.

The previous prime is 261552403011413. The next prime is 261552403011481. The reversal of 261552403011461 is 164110304255162.

261552403011461 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., 135994080722500 + 125558322288961 = 11661650^2 + 11205281^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-261552403011461 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (261552403011481) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130776201505730 + 130776201505731.

It is an arithmetic number, because the mean of its divisors is an integer number (130776201505731).

Almost surely, 2261552403011461 is an apocalyptic number.

It is an amenable number.

261552403011461 is a deficient number, since it is larger than the sum of its proper divisors (1).

261552403011461 is an equidigital number, since it uses as much as digits as its factorization.

261552403011461 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 261552403011461 in words is "two hundred sixty-one trillion, five hundred fifty-two billion, four hundred three million, eleven thousand, four hundred sixty-one".