512540352 has 224 divisors, whose sum is σ = 1616659200. Its totient is φ = 158754816.

The previous prime is 512540341. The next prime is 512540363. The reversal of 512540352 is 253045215.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (512540341) and next prime (512540363).

It is a super-4 number, since 4×512540352⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2199628 + ... + 2199860.

Almost surely, 2^512540352 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 512540352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808329600).

512540352 is an abundant number, since it is smaller than the sum of its proper divisors (1104118848).

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

512540352 is a wasteful number, since it uses less digits than its factorization.

512540352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 512540352 is about 22639.3540543894. The cubic root of 512540352 is about 800.2813343854.

Adding to 512540352 its reverse (253045215), we get a palindrome (765585567).

The spelling of 512540352 in words is "five hundred twelve million, five hundred forty thousand, three hundred fifty-two".