211405013 has 16 divisors (see below), whose sum is σ = 234814464. Its totient is φ = 189446400.

The previous prime is 211404997. The next prime is 211405079. The reversal of 211405013 is 310504112.

211405013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 211405013 - 2⁴ = 211404997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211404982 and 211405000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211405613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25988 + ... + 33138.

It is an arithmetic number, because the mean of its divisors is an integer number (14675904).

Almost surely, 2^211405013 is an apocalyptic number.

It is an amenable number.

211405013 is a deficient number, since it is larger than the sum of its proper divisors (23409451).

211405013 is a wasteful number, since it uses less digits than its factorization.

211405013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7252.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 211405013 is about 14539.7734851682. The cubic root of 211405013 is about 595.7148510963.

Adding to 211405013 its reverse (310504112), we get a palindrome (521909125).

Subtracting 211405013 from its reverse (310504112), we obtain a palindrome (99099099).

It can be divided in two parts, 211 and 405013, that added together give a cube (405224 = 74³).

The spelling of 211405013 in words is "two hundred eleven million, four hundred five thousand, thirteen".