312331516541 has 12 divisors (see below), whose sum is σ = 352070993952. Its totient is φ = 274778451000.

The previous prime is 312331516537. The next prime is 312331516577. The reversal of 312331516541 is 145615133213.

It is not a de Polignac number, because 312331516541 - 2² = 312331516537 is a prime.

It is a super-4 number, since 4×312331516541⁴ (a number of 47 digits) contains 4444 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312331516141) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14762465 + ... + 14783606.

It is an arithmetic number, because the mean of its divisors is an integer number (29339249496).

Almost surely, 2^312331516541 is an apocalyptic number.

312331516541 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

312331516541 is a deficient number, since it is larger than the sum of its proper divisors (39739477411).

312331516541 is a wasteful number, since it uses less digits than its factorization.

312331516541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29546144 (or 29546113 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

Adding to 312331516541 its reverse (145615133213), we get a palindrome (457946649754).

The spelling of 312331516541 in words is "three hundred twelve billion, three hundred thirty-one million, five hundred sixteen thousand, five hundred forty-one".