55133000 has 64 divisors (see below), whose sum is σ = 138967920. Its totient is φ = 20352000.

The previous prime is 55132993. The next prime is 55133017. The reversal of 55133000 is 33155.

It can be written as a sum of positive squares in 8 ways, for example, as 5317636 + 49815364 = 2306^2 + 7058^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 55133000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10880 + ... + 15120.

Almost surely, 2^55133000 is an apocalyptic number.

55133000 is a gapful number since it is divisible by the number (50) 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 55133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69483960).

55133000 is an abundant number, since it is smaller than the sum of its proper divisors (83834920).

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

55133000 is a wasteful number, since it uses less digits than its factorization.

55133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 55133000 is about 7425.1599309375. The cubic root of 55133000 is about 380.6015403335.

Adding to 55133000 its reverse (33155), we get a palindrome (55166155).

The spelling of 55133000 in words is "fifty-five million, one hundred thirty-three thousand".