505203552 has 144 divisors (see below), whose sum is σ = 1738612512. Its totient is φ = 135843840.

The previous prime is 505203551. The next prime is 505203563. The reversal of 505203552 is 255302505.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505203551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26902 + ... + 41642.

It is an arithmetic number, because the mean of its divisors is an integer number (12073698).

Almost surely, 2^505203552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505203552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869306256).

505203552 is an abundant number, since it is smaller than the sum of its proper divisors (1233408960).

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

505203552 is a wasteful number, since it uses less digits than its factorization.

505203552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14781 (or 14770 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 505203552 is about 22476.7335705169. The cubic root of 505203552 is about 796.4444039158. Note that the first 4 decimals are identical.

It can be divided in two parts, 50520 and 3552, that multiplied together give a triangular number (179447040 = T₁₈₉₄₄).

The spelling of 505203552 in words is "five hundred five million, two hundred three thousand, five hundred fifty-two".