980513856 has 224 divisors, whose sum is σ = 3330529280. Its totient is φ = 277074432.

The previous prime is 980513837. The next prime is 980513857. The reversal of 980513856 is 658315089.

980513856 is a `hidden beast` number, since 9 + 80 + 513 + 8 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×980513856² = 1922814843615977472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980513857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1245495 + ... + 1246281.

Almost surely, 2^980513856 is an apocalyptic number.

980513856 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980513856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665264640).

980513856 is an abundant number, since it is smaller than the sum of its proper divisors (2350015424).

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

980513856 is a wasteful number, since it uses less digits than its factorization.

980513856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 980513856 is about 31313.1578733286. The cubic root of 980513856 is about 993.4619659353.

The spelling of 980513856 in words is "nine hundred eighty million, five hundred thirteen thousand, eight hundred fifty-six".