533148100 has 27 divisors (see below), whose sum is σ = 1157432647. Its totient is φ = 213166880.

The previous prime is 533148097. The next prime is 533148107. The reversal of 533148100 is 1841335.

The square root of 533148100 is 23090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26357956 + 506790144 = 5134^2 + 22512^2 .

It is a super-2 number, since 2×533148100² = 568493793067220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (533148107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 229746 + ... + 232054.

Almost surely, 2^533148100 is an apocalyptic number.

533148100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

533148100 is the 23090-th square number.

It is an amenable number.

533148100 is an abundant number, since it is smaller than the sum of its proper divisors (624284547).

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

533148100 is an equidigital number, since it uses as much as digits as its factorization.

533148100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4632 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The cubic root of 533148100 is about 810.8663696593.

Multiplying 533148100 by its sum of digits (25), we get a square (13328702500 = 115450²).

533148100 divided by its sum of digits (25) gives a square (21325924 = 4618²).

Adding to 533148100 its reverse (1841335), we get a palindrome (534989435).

The spelling of 533148100 in words is "five hundred thirty-three million, one hundred forty-eight thousand, one hundred".