1603129664528 has 80 divisors (see below), whose sum is σ = 3598929237120. Its totient is φ = 677546892288.

The previous prime is 1603129664491. The next prime is 1603129664531. The reversal of 1603129664528 is 8254669213061.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1603129664528.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107809478 + ... + 107824346.

It is an arithmetic number, because the mean of its divisors is an integer number (44986615464).

Almost surely, 2^{1603129664528} 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 1603129664528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799464618560).

1603129664528 is an abundant number, since it is smaller than the sum of its proper divisors (1995799572592).

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

1603129664528 is a wasteful number, since it uses less digits than its factorization.

1603129664528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28144 (or 28138 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 1603129664528 in words is "one trillion, six hundred three billion, one hundred twenty-nine million, six hundred sixty-four thousand, five hundred twenty-eight".