Search a number
-
+
264443261033531 is a prime number
BaseRepresentation
bin111100001000001001111110…
…101000110001110000111011
31021200022112021112112211222202
4330020021332220301300323
5234130114244311033111
62334231320152140415
7106462252346141516
oct7410117650616073
91250275245484882
10264443261033531
1177294836917198
12257aaa6109770b
13b472b7ab14708
14494319d181d7d
152088b99434b3b
hexf0827ea31c3b

264443261033531 has 2 divisors, whose sum is σ = 264443261033532. Its totient is φ = 264443261033530.

The previous prime is 264443261033527. The next prime is 264443261033537. The reversal of 264443261033531 is 135330162344462.

264443261033531 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 is a cyclic number.

It is not a de Polignac number, because 264443261033531 - 22 = 264443261033527 is a prime.

It is a super-3 number, since 3×2644432610335313 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (264443261033537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 132221630516765 + 132221630516766.

It is an arithmetic number, because the mean of its divisors is an integer number (132221630516766).

Almost surely, 2264443261033531 is an apocalyptic number.

264443261033531 is a deficient number, since it is larger than the sum of its proper divisors (1).

264443261033531 is an equidigital number, since it uses as much as digits as its factorization.

264443261033531 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3732480, while the sum is 47.

The spelling of 264443261033531 in words is "two hundred sixty-four trillion, four hundred forty-three billion, two hundred sixty-one million, thirty-three thousand, five hundred thirty-one".