312538020601 has 3 divisors (see below), whose sum is σ = 312538579653. Its totient is φ = 312537461550.

The previous prime is 312538020589. The next prime is 312538020607. The reversal of 312538020601 is 106020835213.

The square root of 312538020601 is 559051.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 106020835213 = 23 ⋅4609601531.

It is not a de Polignac number, because 312538020601 - 2¹¹ = 312538018553 is a prime.

It is a super-2 number, since 2×312538020601² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (312538020607) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 279526 + ... + 838576.

It is an arithmetic number, because the mean of its divisors is an integer number (104179526551).

Almost surely, 2^312538020601 is an apocalyptic number.

312538020601 is the 559051-st square number.

312538020601 is the 279526-th centered octagonal number.

It is an amenable number.

312538020601 is a deficient number, since it is larger than the sum of its proper divisors (559052).

312538020601 is an frugal number, since it uses more digits than its factorization.

312538020601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118102 (or 559051 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 312538020601 its reverse (106020835213), we get a palindrome (418558855814).

The spelling of 312538020601 in words is "three hundred twelve billion, five hundred thirty-eight million, twenty thousand, six hundred one".