1205075205 has 32 divisors (see below), whose sum is σ = 2150565120. Its totient is φ = 640244160.

The previous prime is 1205075203. The next prime is 1205075213. The reversal of 1205075205 is 5025705021.

It is a happy number.

It is not a de Polignac number, because 1205075205 - 2¹ = 1205075203 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205075203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18535 + ... + 52475.

It is an arithmetic number, because the mean of its divisors is an integer number (67205160).

Almost surely, 2^1205075205 is an apocalyptic number.

1205075205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1205075205 is a deficient number, since it is larger than the sum of its proper divisors (945489915).

1205075205 is a wasteful number, since it uses less digits than its factorization.

1205075205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34218 (or 34212 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 1205075205 is about 34714.1931347972. The cubic root of 1205075205 is about 1064.1545760334.

The spelling of 1205075205 in words is "one billion, two hundred five million, seventy-five thousand, two hundred five".