1205513010 has 256 divisors, whose sum is σ = 3723148800. Its totient is φ = 274931712.

The previous prime is 1205512951. The next prime is 1205513059. The reversal of 1205513010 is 103155021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5310517 + ... + 5310743.

It is an arithmetic number, because the mean of its divisors is an integer number (14543550).

Almost surely, 2^1205513010 is an apocalyptic number.

1205513010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1205513010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1861574400).

1205513010 is an abundant number, since it is smaller than the sum of its proper divisors (2517635790).

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

1205513010 is a wasteful number, since it uses less digits than its factorization.

1205513010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1205513010 is about 34720.4984123212. The cubic root of 1205513010 is about 1064.2834298964.

Adding to 1205513010 its reverse (103155021), we get a palindrome (1308668031).

The spelling of 1205513010 in words is "one billion, two hundred five million, five hundred thirteen thousand, ten".