1353548820 has 96 divisors (see below), whose sum is σ = 4097278080. Its totient is φ = 331891200.

The previous prime is 1353548803. The next prime is 1353548831. The reversal of 1353548820 is 288453531.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206595 + ... + 213045.

It is an arithmetic number, because the mean of its divisors is an integer number (42679980).

Almost surely, 2^1353548820 is an apocalyptic number.

1353548820 is a gapful number since it is divisible by the number (10) 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 1353548820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2048639040).

1353548820 is an abundant number, since it is smaller than the sum of its proper divisors (2743729260).

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

1353548820 is a wasteful number, since it uses less digits than its factorization.

1353548820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6745 (or 6743 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 1353548820 is about 36790.6077688314. The cubic root of 1353548820 is about 1106.1770440572.

The spelling of 1353548820 in words is "one billion, three hundred fifty-three million, five hundred forty-eight thousand, eight hundred twenty".