1353208032 has 240 divisors, whose sum is σ = 4484519424. Its totient is φ = 396576000.

The previous prime is 1353208019. The next prime is 1353208033. The reversal of 1353208032 is 2308023531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1353207987 and 1353208005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353208033) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883107 + ... + 884637.

Almost surely, 2^1353208032 is an apocalyptic number.

1353208032 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 1353208032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2242259712).

1353208032 is an abundant number, since it is smaller than the sum of its proper divisors (3131311392).

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

1353208032 is a wasteful number, since it uses less digits than its factorization.

1353208032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1353208032 is about 36785.9760234794. The cubic root of 1353208032 is about 1106.0842008344.

The spelling of 1353208032 in words is "one billion, three hundred fifty-three million, two hundred eight thousand, thirty-two".