Search a number
-
+
526444441381 is a prime number
BaseRepresentation
bin1111010100100101000…
…10001010111100100101
31212022211211002112010101
413222102202022330211
532111124234111011
61041502323224101
753014532630155
oct7522242127445
91768754075111
10526444441381
1119329a187731
1286041218031
133a8499c3021
141b6a136a765
15da625282c1
hex7a9288af25

526444441381 has 2 divisors, whose sum is σ = 526444441382. Its totient is φ = 526444441380.

The previous prime is 526444441349. The next prime is 526444441409. The reversal of 526444441381 is 183144444625.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 524452604481 + 1991836900 = 724191^2 + 44630^2 .

It is a cyclic number.

It is not a de Polignac number, because 526444441381 - 25 = 526444441349 is a prime.

It is a super-3 number, since 3×5264444413813 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (526444441331) 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, 263222220690 + 263222220691.

It is an arithmetic number, because the mean of its divisors is an integer number (263222220691).

Almost surely, 2526444441381 is an apocalyptic number.

It is an amenable number.

526444441381 is a deficient number, since it is larger than the sum of its proper divisors (1).

526444441381 is an equidigital number, since it uses as much as digits as its factorization.

526444441381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1474560, while the sum is 46.

The spelling of 526444441381 in words is "five hundred twenty-six billion, four hundred forty-four million, four hundred forty-one thousand, three hundred eighty-one".