211457125 has 32 divisors (see below), whose sum is σ = 297872640. Its totient is φ = 148456000.

The previous prime is 211457119. The next prime is 211457143. The reversal of 211457125 is 521754112.

It is not a de Polignac number, because 211457125 - 2³ = 211457117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211457093 and 211457102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37224 + ... + 42526.

It is an arithmetic number, because the mean of its divisors is an integer number (9308520).

Almost surely, 2^211457125 is an apocalyptic number.

211457125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

211457125 is a deficient number, since it is larger than the sum of its proper divisors (86415515).

211457125 is a wasteful number, since it uses less digits than its factorization.

211457125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5358 (or 5348 counting only the distinct ones).

The product of its digits is 2800, while the sum is 28.

The square root of 211457125 is about 14541.5654246714. The cubic root of 211457125 is about 595.7637956024.

It can be divided in two parts, 2114571 and 25, that added together give a triangular number (2114596 = T₂₀₅₆).

The spelling of 211457125 in words is "two hundred eleven million, four hundred fifty-seven thousand, one hundred twenty-five".