213590888333001 has 99 divisors (see below), whose sum is σ = 323477012826471. Its totient is φ = 141032561685984.

The previous prime is 213590888332961. The next prime is 213590888333059. The reversal of 213590888333001 is 100333888095312.

The square root of 213590888333001 is 14614749.

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

213590888333001 is a `hidden beast` number, since 2 + 13 + 590 + 8 + 8 + 8 + 3 + 3 + 30 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125464305177225 + 88126583155776 = 11201085^2 + 9387576^2 .

It is not a de Polignac number, because 213590888333001 - 2⁷ = 213590888332873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213590888333401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 486539608740 + ... + 486539609178.

Almost surely, 2^{213590888333001} is an apocalyptic number.

213590888333001 is the 14614749-th square number.

213590888333001 is the 7307375-th centered octagonal number.

It is an amenable number.

213590888333001 is a deficient number, since it is larger than the sum of its proper divisors (109886124493470).

213590888333001 is an frugal number, since it uses more digits than its factorization.

213590888333001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 213590888333001 in words is "two hundred thirteen trillion, five hundred ninety billion, eight hundred eighty-eight million, three hundred thirty-three thousand, one".