1205024513 has 32 divisors (see below), whose sum is σ = 1539897600. Its totient is φ = 934778880.

The previous prime is 1205024459. The next prime is 1205024519. The reversal of 1205024513 is 3154205021.

It is not a de Polignac number, because 1205024513 - 2¹⁰ = 1205023489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1205024519) 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, 1044545 + ... + 1045697.

It is an arithmetic number, because the mean of its divisors is an integer number (48121800).

Almost surely, 2^1205024513 is an apocalyptic number.

It is an amenable number.

1205024513 is a deficient number, since it is larger than the sum of its proper divisors (334873087).

1205024513 is a wasteful number, since it uses less digits than its factorization.

1205024513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462 (or 1448 counting only the distinct ones).

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

The square root of 1205024513 is about 34713.4629934842. The cubic root of 1205024513 is about 1064.1396544529.

Adding to 1205024513 its reverse (3154205021), we get a palindrome (4359229534).

It can be divided in two parts, 12050 and 24513, that added together give a palindrome (36563).

The spelling of 1205024513 in words is "one billion, two hundred five million, twenty-four thousand, five hundred thirteen".