312505122013153 has 8 divisors (see below), whose sum is σ = 312543224983080. Its totient is φ = 312467020016640.

The previous prime is 312505122013141. The next prime is 312505122013159. The reversal of 312505122013153 is 351310221505213.

It can be written as a sum of positive squares in 4 ways, for example, as 68074661043169 + 244430460969984 = 8250737^2 + 15634272^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 312505122013153 - 2⁹ = 312505122012641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312505122013159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 798239451 + ... + 798630847.

It is an arithmetic number, because the mean of its divisors is an integer number (39067903122885).

Almost surely, 2^{312505122013153} is an apocalyptic number.

It is an amenable number.

312505122013153 is a deficient number, since it is larger than the sum of its proper divisors (38102969927).

312505122013153 is an equidigital number, since it uses as much as digits as its factorization.

312505122013153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486707.

The product of its (nonzero) digits is 27000, while the sum is 34.

Adding to 312505122013153 its reverse (351310221505213), we get a palindrome (663815343518366).

The spelling of 312505122013153 in words is "three hundred twelve trillion, five hundred five billion, one hundred twenty-two million, thirteen thousand, one hundred fifty-three".