211352505 has 64 divisors (see below), whose sum is σ = 422596608. Its totient is φ = 87816960.

The previous prime is 211352489. The next prime is 211352509. The reversal of 211352505 is 505253112.

It is a happy number.

It is not a de Polignac number, because 211352505 - 2⁴ = 211352489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211352509) 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 63 ways as a sum of consecutive naturals, for example, 90300 + ... + 92610.

It is an arithmetic number, because the mean of its divisors is an integer number (6603072).

Almost surely, 2^211352505 is an apocalyptic number.

It is an amenable number.

211352505 is a deficient number, since it is larger than the sum of its proper divisors (211244103).

211352505 is a wasteful number, since it uses less digits than its factorization.

211352505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406.

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 211352505 is about 14537.9677052881. The cubic root of 211352505 is about 595.6655265241.

The spelling of 211352505 in words is "two hundred eleven million, three hundred fifty-two thousand, five hundred five".