981305152 has 56 divisors (see below), whose sum is σ = 2002170240. Its totient is φ = 476912640.

The previous prime is 981305137. The next prime is 981305153. The reversal of 981305152 is 251503189.

981305152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981305153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962499 + ... + 963517.

It is an arithmetic number, because the mean of its divisors is an integer number (35753040).

Almost surely, 2^981305152 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 981305152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1001085120).

981305152 is an abundant number, since it is smaller than the sum of its proper divisors (1020865088).

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

981305152 is a wasteful number, since it uses less digits than its factorization.

981305152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 981305152 is about 31325.7905247417. The cubic root of 981305152 is about 993.7291425444.

The spelling of 981305152 in words is "nine hundred eighty-one million, three hundred five thousand, one hundred fifty-two".