311145411050225 has 12 divisors (see below), whose sum is σ = 385820877188124. Its totient is φ = 248915962720320.

The previous prime is 311145411050209. The next prime is 311145411050231. The reversal of 311145411050225 is 522050114541113.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 15636899739904 + 295508511310321 = 3954352^2 + 17190361^2 .

It is not a de Polignac number, because 311145411050225 - 2⁴ = 311145411050209 is a prime.

It is a super-2 number, since 2×311145411050225² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8880527 + ... + 26479323.

It is an arithmetic number, because the mean of its divisors is an integer number (32151739765677).

Almost surely, 2^{311145411050225} is an apocalyptic number.

It is an amenable number.

311145411050225 is a deficient number, since it is larger than the sum of its proper divisors (74675466137899).

311145411050225 is a wasteful number, since it uses less digits than its factorization.

311145411050225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18306004 (or 18305999 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 35.

Adding to 311145411050225 its reverse (522050114541113), we get a palindrome (833195525591338).

The spelling of 311145411050225 in words is "three hundred eleven trillion, one hundred forty-five billion, four hundred eleven million, fifty thousand, two hundred twenty-five".