1353309048 has 288 divisors, whose sum is σ = 4836358800. Its totient is φ = 337913856.

The previous prime is 1353308977. The next prime is 1353309053. The reversal of 1353309048 is 8409033531.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 870640 + ... + 872192.

Almost surely, 2^1353309048 is an apocalyptic number.

1353309048 is a gapful number since it is divisible by the number (18) 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 1353309048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418179400).

1353309048 is an abundant number, since it is smaller than the sum of its proper divisors (3483049752).

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

1353309048 is a wasteful number, since it uses less digits than its factorization.

1353309048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1353309048 is about 36787.3490210969. The cubic root of 1353309048 is about 1106.1117229445. Note that the first 3 decimals are identical.

The spelling of 1353309048 in words is "one billion, three hundred fifty-three million, three hundred nine thousand, forty-eight".