Search a number
-
+
525948192221 is a prime number
BaseRepresentation
bin1111010011101001111…
…01001000010111011101
31212021120020022110020212
413221310331020113131
532104120214122341
61041341155022205
752666325604464
oct7516475102735
91767506273225
10525948192221
11193065052361
1285b22b9a965
133a79ac5227a
141b6554ad9db
15da33ba15eb
hex7a74f485dd

525948192221 has 2 divisors, whose sum is σ = 525948192222. Its totient is φ = 525948192220.

The previous prime is 525948192199. The next prime is 525948192223. The reversal of 525948192221 is 122291849525.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 525790312996 + 157879225 = 725114^2 + 12565^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-525948192221 is a prime.

It is a Sophie Germain prime.

Together with 525948192223, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 525948192221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (525948192223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262974096110 + 262974096111.

It is an arithmetic number, because the mean of its divisors is an integer number (262974096111).

Almost surely, 2525948192221 is an apocalyptic number.

It is an amenable number.

525948192221 is a deficient number, since it is larger than the sum of its proper divisors (1).

525948192221 is an equidigital number, since it uses as much as digits as its factorization.

525948192221 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1036800, while the sum is 50.

The spelling of 525948192221 in words is "five hundred twenty-five billion, nine hundred forty-eight million, one hundred ninety-two thousand, two hundred twenty-one".