512303364 has 108 divisors (see below), whose sum is σ = 1410371508. Its totient is φ = 156672000.

The previous prime is 512303359. The next prime is 512303377. The reversal of 512303364 is 463303215.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 63202500 + 449100864 = 7950^2 + 21192^2 .

It is a super-3 number, since 3×512303364³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 425964 + ... + 427164.

Almost surely, 2^512303364 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 512303364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705185754).

512303364 is an abundant number, since it is smaller than the sum of its proper divisors (898068144).

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

512303364 is a wasteful number, since it uses less digits than its factorization.

512303364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 512303364 is about 22634.1194659744. The cubic root of 512303364 is about 800.1579708878.

Adding to 512303364 its reverse (463303215), we get a palindrome (975606579).

The spelling of 512303364 in words is "five hundred twelve million, three hundred three thousand, three hundred sixty-four".