312524545121 has 16 divisors (see below), whose sum is σ = 320992705488. Its totient is φ = 304097587200.

The previous prime is 312524545097. The next prime is 312524545159. The reversal of 312524545121 is 121545425213.

It can be written as a sum of positive squares in 8 ways, for example, as 16528702096 + 295995843025 = 128564^2 + 544055^2 .

It is a cyclic number.

It is not a de Polignac number, because 312524545121 - 2²² = 312520350817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312524545621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32224145 + ... + 32233841.

It is an arithmetic number, because the mean of its divisors is an integer number (20062044093).

Almost surely, 2^312524545121 is an apocalyptic number.

It is an amenable number.

312524545121 is a deficient number, since it is larger than the sum of its proper divisors (8468160367).

312524545121 is a wasteful number, since it uses less digits than its factorization.

312524545121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11732.

The product of its digits is 48000, while the sum is 35.

The spelling of 312524545121 in words is "three hundred twelve billion, five hundred twenty-four million, five hundred forty-five thousand, one hundred twenty-one".