511142352 has 80 divisors (see below), whose sum is σ = 1515795840. Its totient is φ = 145391616.

The previous prime is 511142347. The next prime is 511142377. The reversal of 511142352 is 253241115.

It is a happy number.

It is a super-2 number, since 2×511142352² = 522533008016183808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75024 + ... + 81552.

It is an arithmetic number, because the mean of its divisors is an integer number (18947448).

Almost surely, 2^511142352 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 511142352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757897920).

511142352 is an abundant number, since it is smaller than the sum of its proper divisors (1004653488).

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

511142352 is a wasteful number, since it uses less digits than its factorization.

511142352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6780 (or 6774 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 511142352 is about 22608.4575325253. The cubic root of 511142352 is about 799.5530586842.

Adding to 511142352 its reverse (253241115), we get a palindrome (764383467).

The spelling of 511142352 in words is "five hundred eleven million, one hundred forty-two thousand, three hundred fifty-two".