331812541 has 2 divisors, whose sum is σ = 331812542. Its totient is φ = 331812540.

The previous prime is 331812539. The next prime is 331812581. The reversal of 331812541 is 145218133.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 244015641 + 87796900 = 15621^2 + 9370^2 .

It is an emirp because it is prime and its reverse (145218133) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 331812541 - 2¹ = 331812539 is a prime.

It is a super-2 number, since 2×331812541² = 220199124729753362, which contains 22 as substring.

Together with 331812539, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331812581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165906270 + 165906271.

It is an arithmetic number, because the mean of its divisors is an integer number (165906271).

Almost surely, 2^331812541 is an apocalyptic number.

It is an amenable number.

331812541 is a deficient number, since it is larger than the sum of its proper divisors (1).

331812541 is an equidigital number, since it uses as much as digits as its factorization.

331812541 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2880, while the sum is 28.

The square root of 331812541 is about 18215.7223573483. The cubic root of 331812541 is about 692.3052081509.

The spelling of 331812541 in words is "three hundred thirty-one million, eight hundred twelve thousand, five hundred forty-one".