2553505332 has 192 divisors, whose sum is σ = 7520325120. Its totient is φ = 657506304.

The previous prime is 2553505289. The next prime is 2553505337. The reversal of 2553505332 is 2335053552.

It is a junction number, because it is equal to n+sod(n) for n = 2553505293 and 2553505302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553505337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8158008 + ... + 8158320.

It is an arithmetic number, because the mean of its divisors is an integer number (39168360).

Almost surely, 2^2553505332 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 2553505332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760162560).

2553505332 is an abundant number, since it is smaller than the sum of its proper divisors (4966819788).

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

2553505332 is a wasteful number, since it uses less digits than its factorization.

2553505332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 33.

The square root of 2553505332 is about 50532.2207309356. The cubic root of 2553505332 is about 1366.8229311968.

Adding to 2553505332 its reverse (2335053552), we get a palindrome (4888558884).

The spelling of 2553505332 in words is "two billion, five hundred fifty-three million, five hundred five thousand, three hundred thirty-two".