205213541 has 16 divisors (see below), whose sum is σ = 229714800. Its totient is φ = 182020608.

The previous prime is 205213529. The next prime is 205213553. The reversal of 205213541 is 145312502.

205213541 = 10129² + 10130².

It is an interprime number because it is at equal distance from previous prime (205213529) and next prime (205213553).

It can be written as a sum of positive squares in 8 ways, for example, as 122500 + 205091041 = 350^2 + 14321^2 .

It is a cyclic number.

It is not a de Polignac number, because 205213541 - 2¹⁰ = 205212517 is a prime.

It is a super-2 number, since 2×205213541² = 84225194819517362, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205213571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85145 + ... + 87521.

It is an arithmetic number, because the mean of its divisors is an integer number (14357175).

Almost surely, 2^205213541 is an apocalyptic number.

205213541 is the 10130-th centered square number.

It is an amenable number.

205213541 is a deficient number, since it is larger than the sum of its proper divisors (24501259).

205213541 is a wasteful number, since it uses less digits than its factorization.

205213541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648.

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 205213541 is about 14325.2762975099. The cubic root of 205213541 is about 589.8415173296.

The spelling of 205213541 in words is "two hundred five million, two hundred thirteen thousand, five hundred forty-one".