213777008353505 has 16 divisors (see below), whose sum is σ = 257909523720384. Its totient is φ = 170105740459200.

The previous prime is 213777008353487. The next prime is 213777008353589. The reversal of 213777008353505 is 505353800777312.

It is not a de Polignac number, because 213777008353505 - 2⁴⁴ = 196184822309089 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137323946 + ... + 138871955.

It is an arithmetic number, because the mean of its divisors is an integer number (16119345232524).

Almost surely, 2^{213777008353505} is an apocalyptic number.

It is an amenable number.

213777008353505 is a deficient number, since it is larger than the sum of its proper divisors (44132515366879).

213777008353505 is a wasteful number, since it uses less digits than its factorization.

213777008353505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276196736.

The product of its (nonzero) digits is 18522000, while the sum is 56.

The spelling of 213777008353505 in words is "two hundred thirteen trillion, seven hundred seventy-seven billion, eight million, three hundred fifty-three thousand, five hundred five".