1681259952 has 80 divisors (see below), whose sum is σ = 4537709568. Its totient is φ = 535768320.

The previous prime is 1681259947. The next prime is 1681259963. The reversal of 1681259952 is 2599521861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 116698 + ... + 130310.

Almost surely, 2^1681259952 is an apocalyptic number.

1681259952 is a gapful number since it is divisible by the number (12) 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 1681259952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268854784).

1681259952 is an abundant number, since it is smaller than the sum of its proper divisors (2856449616).

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

1681259952 is a wasteful number, since it uses less digits than its factorization.

1681259952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13738 (or 13732 counting only the distinct ones).

The product of its digits is 388800, while the sum is 48.

The square root of 1681259952 is about 41003.1700237921. The cubic root of 1681259952 is about 1189.0815010661.

The spelling of 1681259952 in words is "one billion, six hundred eighty-one million, two hundred fifty-nine thousand, nine hundred fifty-two".