205121950 has 48 divisors (see below), whose sum is σ = 417629520. Its totient is φ = 74336000.

The previous prime is 205121933. The next prime is 205121953. The reversal of 205121950 is 59121502.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205121953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253146 + ... + 253954.

It is an arithmetic number, because the mean of its divisors is an integer number (8700615).

Almost surely, 2^205121950 is an apocalyptic number.

205121950 is an abundant number, since it is smaller than the sum of its proper divisors (212507570).

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

205121950 is a wasteful number, since it uses less digits than its factorization.

205121950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 205121950 is about 14322.0791088445. The cubic root of 205121950 is about 589.7537514939.

The spelling of 205121950 in words is "two hundred five million, one hundred twenty-one thousand, nine hundred fifty".