211313952 has 72 divisors (see below), whose sum is σ = 621670140. Its totient is φ = 68006400.

The previous prime is 211313939. The next prime is 211313957. The reversal of 211313952 is 259313112.

211313952 = T₃₈₀₃ + T₃₈₀₄ + ... + T₃₈₃₁.

It can be written as a sum of positive squares in 2 ways, for example, as 209786256 + 1527696 = 14484^2 + 1236^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (211313957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4299 + ... + 21002.

Almost surely, 2^211313952 is an apocalyptic number.

It is an amenable number.

211313952 is an abundant number, since it is smaller than the sum of its proper divisors (410356188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211313952 is a wasteful number, since it uses less digits than its factorization.

211313952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25346 (or 25335 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 211313952 is about 14536.6417029519. The cubic root of 211313952 is about 595.6293056940.

The spelling of 211313952 in words is "two hundred eleven million, three hundred thirteen thousand, nine hundred fifty-two".