852137381 has 2 divisors, whose sum is σ = 852137382. Its totient is φ = 852137380.

The previous prime is 852137357. The next prime is 852137383. The reversal of 852137381 is 183731258.

It is a happy number.

852137381 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., 817445281 + 34692100 = 28591^2 + 5890^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-852137381 is a prime.

It is a super-2 number, since 2×852137381² = 1452276232195078322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 852137383, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (852137383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 426068690 + 426068691.

It is an arithmetic number, because the mean of its divisors is an integer number (426068691).

Almost surely, 2^852137381 is an apocalyptic number.

It is an amenable number.

852137381 is a deficient number, since it is larger than the sum of its proper divisors (1).

852137381 is an equidigital number, since it uses as much as digits as its factorization.

852137381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 40320, while the sum is 38.

The square root of 852137381 is about 29191.3922415496. The cubic root of 852137381 is about 948.0615620647.

The spelling of 852137381 in words is "eight hundred fifty-two million, one hundred thirty-seven thousand, three hundred eighty-one".