345305242001 has 2 divisors, whose sum is σ = 345305242002. Its totient is φ = 345305242000.

The previous prime is 345305241991. The next prime is 345305242031. The reversal of 345305242001 is 100242503543.

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., 317195366401 + 28109875600 = 563201^2 + 167660^2 .

It is a cyclic number.

It is not a de Polignac number, because 345305242001 - 2²² = 345301047697 is a prime.

It is not a weakly prime, because it can be changed into another prime (345305242031) 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, 172652621000 + 172652621001.

It is an arithmetic number, because the mean of its divisors is an integer number (172652621001).

Almost surely, 2^345305242001 is an apocalyptic number.

It is an amenable number.

345305242001 is a deficient number, since it is larger than the sum of its proper divisors (1).

345305242001 is an equidigital number, since it uses as much as digits as its factorization.

345305242001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 345305242001 its reverse (100242503543), we get a palindrome (445547745544).

The spelling of 345305242001 in words is "three hundred forty-five billion, three hundred five million, two hundred forty-two thousand, one".