1002153521322 has 64 divisors (see below), whose sum is σ = 2290735261440. Its totient is φ = 324519991488.

The previous prime is 1002153521321. The next prime is 1002153521377. The reversal of 1002153521322 is 2231253512001.

1002153521322 is a `hidden beast` number, since 100 + 2 + 1 + 5 + 3 + 521 + 32 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1002153521321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 905088 + ... + 1680324.

It is an arithmetic number, because the mean of its divisors is an integer number (35792738460).

Almost surely, 2^{1002153521322} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002153521322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145367630720).

1002153521322 is an abundant number, since it is smaller than the sum of its proper divisors (1288581740118).

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

1002153521322 is a wasteful number, since it uses less digits than its factorization.

1002153521322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775932 (or 775926 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1002153521322 in words is "one trillion, two billion, one hundred fifty-three million, five hundred twenty-one thousand, three hundred twenty-two".