503151312 has 240 divisors, whose sum is σ = 1534901760. Its totient is φ = 141318144.

The previous prime is 503151287. The next prime is 503151347. The reversal of 503151312 is 213151305.

It is a super-2 number, since 2×503151312² = 506322485534642688, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6062023 + ... + 6062105.

It is an arithmetic number, because the mean of its divisors is an integer number (6395424).

Almost surely, 2^503151312 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 503151312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767450880).

503151312 is an abundant number, since it is smaller than the sum of its proper divisors (1031750448).

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

503151312 is a wasteful number, since it uses less digits than its factorization.

503151312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 503151312 is about 22431.0345726629. The cubic root of 503151312 is about 795.3645003912.

The spelling of 503151312 in words is "five hundred three million, one hundred fifty-one thousand, three hundred twelve".