211252041 has 96 divisors (see below), whose sum is σ = 415134720. Its totient is φ = 99964800.

The previous prime is 211252039. The next prime is 211252043. The reversal of 211252041 is 140252112.

It is an interprime number because it is at equal distance from previous prime (211252039) and next prime (211252043).

It is not a de Polignac number, because 211252041 - 2¹ = 211252039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211252043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1180090 + ... + 1180268.

It is an arithmetic number, because the mean of its divisors is an integer number (4324320).

Almost surely, 2^211252041 is an apocalyptic number.

211252041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211252041 is a deficient number, since it is larger than the sum of its proper divisors (203882679).

211252041 is a wasteful number, since it uses less digits than its factorization.

211252041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 211252041 is about 14534.5120661135. The cubic root of 211252041 is about 595.5711306303.

It can be divided in two parts, 211 and 252041, that added together give a palindrome (252252).

The spelling of 211252041 in words is "two hundred eleven million, two hundred fifty-two thousand, forty-one".