653323356 has 144 divisors (see below), whose sum is σ = 1986828480. Its totient is φ = 177085440.

The previous prime is 653323313. The next prime is 653323373.

653323356 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 653323356.

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, 381430 + ... + 383138.

It is an arithmetic number, because the mean of its divisors is an integer number (13797420).

Almost surely, 2^653323356 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 653323356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993414240).

653323356 is an abundant number, since it is smaller than the sum of its proper divisors (1333505124).

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

653323356 is a wasteful number, since it uses less digits than its factorization.

653323356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1804 (or 1799 counting only the distinct ones).

The product of its digits is 145800, while the sum is 36.

The square root of 653323356 is about 25560.1908443580. The cubic root of 653323356 is about 867.7129148206.

The spelling of 653323356 in words is "six hundred fifty-three million, three hundred twenty-three thousand, three hundred fifty-six".