312538018553 has 2 divisors, whose sum is σ = 312538018554. Its totient is φ = 312538018552.

The previous prime is 312538018469. The next prime is 312538018561. The reversal of 312538018553 is 355810835213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 235693743289 + 76844275264 = 485483^2 + 277208^2 .

It is a cyclic number.

It is not a de Polignac number, because 312538018553 - 2¹⁰ = 312538017529 is a prime.

It is a super-3 number, since 3×312538018553³ (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (312538018853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156269009276 + 156269009277.

It is an arithmetic number, because the mean of its divisors is an integer number (156269009277).

Almost surely, 2^312538018553 is an apocalyptic number.

It is an amenable number.

312538018553 is a deficient number, since it is larger than the sum of its proper divisors (1).

312538018553 is an equidigital number, since it uses as much as digits as its factorization.

312538018553 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432000, while the sum is 44.

The spelling of 312538018553 in words is "three hundred twelve billion, five hundred thirty-eight million, eighteen thousand, five hundred fifty-three".