532068124900 has 243 divisors, whose sum is σ = 1299042076689. Its totient is φ = 189068256000.

The previous prime is 532068124873. The next prime is 532068124921. The reversal of 532068124900 is 9421860235.

The square root of 532068124900 is 729430.

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

It can be written as a sum of positive squares in 13 ways, for example, as 440675579556 + 91392545344 = 663834^2 + 302312^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2939602810 + ... + 2939602990.

Almost surely, 2^532068124900 is an apocalyptic number.

532068124900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

532068124900 is the 729430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532068124900

532068124900 is an abundant number, since it is smaller than the sum of its proper divisors (766973951789).

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

532068124900 is a wasteful number, since it uses less digits than its factorization.

532068124900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 532068124900 in words is "five hundred thirty-two billion, sixty-eight million, one hundred twenty-four thousand, nine hundred".