345252313121 has 16 divisors (see below), whose sum is σ = 356996525568. Its totient is φ = 333546595200.

The previous prime is 345252313117. The next prime is 345252313187. The reversal of 345252313121 is 121313252543.

It is a cyclic number.

It is not a de Polignac number, because 345252313121 - 2² = 345252313117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (345252313621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52016015 + ... + 52022651.

It is an arithmetic number, because the mean of its divisors is an integer number (22312282848).

Almost surely, 2^345252313121 is an apocalyptic number.

345252313121 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

345252313121 is a deficient number, since it is larger than the sum of its proper divisors (11744212447).

345252313121 is a wasteful number, since it uses less digits than its factorization.

345252313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9272.

The product of its digits is 21600, while the sum is 32.

Adding to 345252313121 its reverse (121313252543), we get a palindrome (466565565664).

The spelling of 345252313121 in words is "three hundred forty-five billion, two hundred fifty-two million, three hundred thirteen thousand, one hundred twenty-one".