1298085516 has 144 divisors (see below), whose sum is σ = 4078756864. Its totient is φ = 338940288.

The previous prime is 1298085497. The next prime is 1298085517. The reversal of 1298085516 is 6155808921.

It is a happy number.

1298085516 is a `hidden beast` number, since 1 + 2 + 98 + 0 + 8 + 551 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (1298085517) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 335505 + ... + 339351.

Almost surely, 2^1298085516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1298085516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039378432).

1298085516 is an abundant number, since it is smaller than the sum of its proper divisors (2780671348).

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

1298085516 is a wasteful number, since it uses less digits than its factorization.

1298085516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The square root of 1298085516 is about 36028.9538565860. The cubic root of 1298085516 is about 1090.8568623556.

The spelling of 1298085516 in words is "one billion, two hundred ninety-eight million, eighty-five thousand, five hundred sixteen".