1353001104 has 320 divisors, whose sum is σ = 4835246080. Its totient is φ = 352719360.

The previous prime is 1353001103. The next prime is 1353001109. The reversal of 1353001104 is 4011003531.

It is a super-2 number, since 2×1353001104² = 3661223974850437632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1353001103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4992489 + ... + 4992759.

It is an arithmetic number, because the mean of its divisors is an integer number (15110144).

Almost surely, 2^1353001104 is an apocalyptic number.

1353001104 is a gapful number since it is divisible by the number (14) 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 1353001104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2417623040).

1353001104 is an abundant number, since it is smaller than the sum of its proper divisors (3482244976).

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

1353001104 is a wasteful number, since it uses less digits than its factorization.

1353001104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1353001104 is about 36783.1633223680. The cubic root of 1353001104 is about 1106.0278184074.

Adding to 1353001104 its reverse (4011003531), we get a palindrome (5364004635).

The spelling of 1353001104 in words is "one billion, three hundred fifty-three million, one thousand, one hundred four".