211000413 has 64 divisors (see below), whose sum is σ = 340526592. Its totient is φ = 114892800.

The previous prime is 211000409. The next prime is 211000417. The reversal of 211000413 is 314000112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211000409) and next prime (211000417).

It is not a de Polignac number, because 211000413 - 2² = 211000409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1540081 + ... + 1540217.

It is an arithmetic number, because the mean of its divisors is an integer number (5320728).

Almost surely, 2^211000413 is an apocalyptic number.

211000413 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

211000413 is a deficient number, since it is larger than the sum of its proper divisors (129526179).

211000413 is a wasteful number, since it uses less digits than its factorization.

211000413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 211000413 is about 14525.8532623733. The cubic root of 211000413 is about 595.3345697386.

Adding to 211000413 its reverse (314000112), we get a palindrome (525000525).

The spelling of 211000413 in words is "two hundred eleven million, four hundred thirteen", and thus it is an aban number.