553152096 has 288 divisors, whose sum is σ = 1902071808. Its totient is φ = 149160960.

The previous prime is 553152091. The next prime is 553152097. The reversal of 553152096 is 690251355.

553152096 is a `hidden beast` number, since 553 + 15 + 2 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 553152096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553152091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3312205 + ... + 3312371.

It is an arithmetic number, because the mean of its divisors is an integer number (6604416).

Almost surely, 2^553152096 is an apocalyptic number.

553152096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553152096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951035904).

553152096 is an abundant number, since it is smaller than the sum of its proper divisors (1348919712).

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

553152096 is a wasteful number, since it uses less digits than its factorization.

553152096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 553152096 is about 23519.1857001895. The cubic root of 553152096 is about 820.8834895638.

The spelling of 553152096 in words is "five hundred fifty-three million, one hundred fifty-two thousand, ninety-six".