331648001 has 2 divisors, whose sum is σ = 331648002. Its totient is φ = 331648000.

The previous prime is 331647961. The next prime is 331648003. The reversal of 331648001 is 100846133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326741776 + 4906225 = 18076^2 + 2215^2 .

It is a cyclic number.

It is not a de Polignac number, because 331648001 - 2⁶ = 331647937 is a prime.

Together with 331648003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (331648003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165824000 + 165824001.

It is an arithmetic number, because the mean of its divisors is an integer number (165824001).

Almost surely, 2^331648001 is an apocalyptic number.

It is an amenable number.

331648001 is a deficient number, since it is larger than the sum of its proper divisors (1).

331648001 is an equidigital number, since it uses as much as digits as its factorization.

331648001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 331648001 is about 18211.2053692225. The cubic root of 331648001 is about 692.1907552405.

The spelling of 331648001 in words is "three hundred thirty-one million, six hundred forty-eight thousand, one".