532504413000 has 1536 divisors, whose sum is σ = 2269088640000. Its totient is φ = 112173465600.

The previous prime is 532504412981. The next prime is 532504413013. The reversal of 532504413000 is 314405235.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3830966931 + ... + 3830967069.

It is an arithmetic number, because the mean of its divisors is an integer number (1477271250).

Almost surely, 2^532504413000 is an apocalyptic number.

532504413000 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 532504413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134544320000).

532504413000 is an abundant number, since it is smaller than the sum of its proper divisors (1736584227000).

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

532504413000 is a wasteful number, since it uses less digits than its factorization.

532504413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 532504413000 its reverse (314405235), we get a palindrome (532818818235).

The spelling of 532504413000 in words is "five hundred thirty-two billion, five hundred four million, four hundred thirteen thousand".