533674080900 has 135 divisors (see below), whose sum is σ = 1730173690399. Its totient is φ = 142295555520.

The previous prime is 533674080889. The next prime is 533674080911. The reversal of 533674080900 is 9080476335.

The square root of 533674080900 is 730530.

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

It is an interprime number because it is at equal distance from previous prime (533674080889) and next prime (533674080911).

It can be written as a sum of positive squares in 4 ways, for example, as 56513651076 + 477160429824 = 237726^2 + 690768^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 65743642 + ... + 65751758.

Almost surely, 2^533674080900 is an apocalyptic number.

533674080900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

533674080900 is the 730530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 533674080900

533674080900 is an abundant number, since it is smaller than the sum of its proper divisors (1196499609499).

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

533674080900 is an frugal number, since it uses more digits than its factorization.

533674080900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16260 (or 8127 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 533674080900 in words is "five hundred thirty-three billion, six hundred seventy-four million, eighty thousand, nine hundred".