553062528 has 96 divisors (see below), whose sum is σ = 1600230060. Its totient is φ = 183343104.

The previous prime is 553062467. The next prime is 553062529. The reversal of 553062528 is 825260355.

It is a happy number.

553062528 is a `hidden beast` number, since 5 + 5 + 3 + 0 + 625 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 380718144 + 172344384 = 19512^2 + 13128^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 553062492 and 553062501.

It is not an unprimeable number, because it can be changed into a prime (553062529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225726 + ... + 228162.

Almost surely, 2^553062528 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 553062528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800115030).

553062528 is an abundant number, since it is smaller than the sum of its proper divisors (1047167532).

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

553062528 is a wasteful number, since it uses less digits than its factorization.

553062528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2654 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 553062528 is about 23517.2814755447. The cubic root of 553062528 is about 820.8391805562.

The spelling of 553062528 in words is "five hundred fifty-three million, sixty-two thousand, five hundred twenty-eight".