205211525 has 12 divisors (see below), whose sum is σ = 254900352. Its totient is φ = 163886640.

The previous prime is 205211491. The next prime is 205211527. The reversal of 205211525 is 525112502.

205211525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 205211525 - 2¹⁴ = 205195141 is a prime.

It is a super-2 number, since 2×205211525² = 84223539985651250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 205211525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205211527) 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, 8414 + ... + 21936.

It is an arithmetic number, because the mean of its divisors is an integer number (21241696).

Almost surely, 2^205211525 is an apocalyptic number.

205211525 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

205211525 is a deficient number, since it is larger than the sum of its proper divisors (49688827).

205211525 is a wasteful number, since it uses less digits than its factorization.

205211525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14140 (or 14135 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 205211525 is about 14325.2059322022. The cubic root of 205211525 is about 589.8395858060.

The spelling of 205211525 in words is "two hundred five million, two hundred eleven thousand, five hundred twenty-five".