2153304561006 has 96 divisors (see below), whose sum is σ = 5038278336000. Its totient is φ = 688427359200.

The previous prime is 2153304560993. The next prime is 2153304561013. The reversal of 2153304561006 is 6001654033512.

2153304561006 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 30 + 4 + 5 + 610 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1622295 + ... + 2634093.

It is an arithmetic number, because the mean of its divisors is an integer number (52482066000).

Almost surely, 2^{2153304561006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2153304561006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2519139168000).

2153304561006 is an abundant number, since it is smaller than the sum of its proper divisors (2884973774994).

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

2153304561006 is a wasteful number, since it uses less digits than its factorization.

2153304561006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011996 (or 1011984 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 2153304561006 its reverse (6001654033512), we get a palindrome (8154958594518).

The spelling of 2153304561006 in words is "two trillion, one hundred fifty-three billion, three hundred four million, five hundred sixty-one thousand, six".