1003529081672 has 96 divisors (see below), whose sum is σ = 2165697878400. Its totient is φ = 433234459008.

The previous prime is 1003529081663. The next prime is 1003529081741. The reversal of 1003529081672 is 2761809253001.

It is a super-2 number, since 2×1003529081672² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2796803 + ... + 3135149.

It is an arithmetic number, because the mean of its divisors is an integer number (22559352900).

Almost surely, 2^{1003529081672} 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 1003529081672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082848939200).

1003529081672 is an abundant number, since it is smaller than the sum of its proper divisors (1162168796728).

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

1003529081672 is a wasteful number, since it uses less digits than its factorization.

1003529081672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338483 (or 338460 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 1003529081672 in words is "one trillion, three billion, five hundred twenty-nine million, eighty-one thousand, six hundred seventy-two".