1353041872 has 120 divisors (see below), whose sum is σ = 3337369728. Its totient is φ = 517466880.

The previous prime is 1353041869. The next prime is 1353041873. The reversal of 1353041872 is 2781403531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353041873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1398733 + ... + 1399699.

Almost surely, 2^1353041872 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 1353041872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668684864).

1353041872 is an abundant number, since it is smaller than the sum of its proper divisors (1984327856).

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

1353041872 is a wasteful number, since it uses less digits than its factorization.

1353041872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 1353041872 is about 36783.7174847785. The cubic root of 1353041872 is about 1106.0389270678.

The spelling of 1353041872 in words is "one billion, three hundred fifty-three million, forty-one thousand, eight hundred seventy-two".