511761152 has 72 divisors (see below), whose sum is σ = 1172242176. Its totient is φ = 218428416.

The previous prime is 511761137. The next prime is 511761167. The reversal of 511761152 is 251167115.

It is an interprime number because it is at equal distance from previous prime (511761137) and next prime (511761167).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 621413 + ... + 622235.

Almost surely, 2^511761152 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 511761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586121088).

511761152 is an abundant number, since it is smaller than the sum of its proper divisors (660481024).

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

511761152 is an equidigital number, since it uses as much as digits as its factorization.

511761152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1179 counting only the distinct ones).

The product of its digits is 2100, while the sum is 29.

The square root of 511761152 is about 22622.1385372825. The cubic root of 511761152 is about 799.8755806508.

The spelling of 511761152 in words is "five hundred eleven million, seven hundred sixty-one thousand, one hundred fifty-two".