55125000 has 252 divisors, whose sum is σ = 217087065. Its totient is φ = 12600000.

The previous prime is 55124989. The next prime is 55125013. The reversal of 55125000 is 52155.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 9400356 + 45724644 = 3066^2 + 6762^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5250.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 7874997 + ... + 7875003.

Almost surely, 2^55125000 is an apocalyptic number.

55125000 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 55125000

55125000 is an abundant number, since it is smaller than the sum of its proper divisors (161962065).

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

55125000 is an equidigital number, since it uses as much as digits as its factorization.

55125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 250, while the sum is 18.

The square root of 55125000 is about 7424.6212024587. The cubic root of 55125000 is about 380.5831305510.

Multiplying 55125000 by its sum of digits (18), we get a square (992250000 = 31500²).

55125000 divided by its sum of digits (18) gives a square (3062500 = 1750²).

Adding to 55125000 its reverse (52155), we get a palindrome (55177155).

The spelling of 55125000 in words is "fifty-five million, one hundred twenty-five thousand".