503213568 has 320 divisors, whose sum is σ = 1649894400. Its totient is φ = 134184960.

The previous prime is 503213567. The next prime is 503213569. The reversal of 503213568 is 865312305.

It is an interprime number because it is at equal distance from previous prime (503213567) and next prime (503213569).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (503213561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6369753 + ... + 6369831.

It is an arithmetic number, because the mean of its divisors is an integer number (5155920).

Almost surely, 2^503213568 is an apocalyptic number.

503213568 is a gapful number since it is divisible by the number (58) 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 503213568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824947200).

503213568 is an abundant number, since it is smaller than the sum of its proper divisors (1146680832).

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

503213568 is a wasteful number, since it uses less digits than its factorization.

503213568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 503213568 is about 22432.4222499488. The cubic root of 503213568 is about 795.3973030949.

The spelling of 503213568 in words is "five hundred three million, two hundred thirteen thousand, five hundred sixty-eight".