1981525504 has 120 divisors (see below), whose sum is σ = 4849142760. Its totient is φ = 804335616.

The previous prime is 1981525493. The next prime is 1981525529. The reversal of 1981525504 is 4055251891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 474594 + ... + 478750.

It is an arithmetic number, because the mean of its divisors is an integer number (40409523).

Almost surely, 2^1981525504 is an apocalyptic number.

1981525504 is a gapful number since it is divisible by the number (14) 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 1981525504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424571380).

1981525504 is an abundant number, since it is smaller than the sum of its proper divisors (2867617256).

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

1981525504 is an equidigital number, since it uses as much as digits as its factorization.

1981525504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4208 (or 4185 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 40.

The square root of 1981525504 is about 44514.3291985850. The cubic root of 1981525504 is about 1256.0296421527.

The spelling of 1981525504 in words is "one billion, nine hundred eighty-one million, five hundred twenty-five thousand, five hundred four".