511078152 has 128 divisors (see below), whose sum is σ = 1448616960. Its totient is φ = 149160960.

The previous prime is 511078133. The next prime is 511078153. The reversal of 511078152 is 251870115.

It is a super-2 number, since 2×511078152² = 522401754903470208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (511078153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512118 + ... + 513114.

It is an arithmetic number, because the mean of its divisors is an integer number (11317320).

Almost surely, 2^511078152 is an apocalyptic number.

511078152 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511078152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724308480).

511078152 is an abundant number, since it is smaller than the sum of its proper divisors (937538808).

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

511078152 is a wasteful number, since it uses less digits than its factorization.

511078152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 30.

The square root of 511078152 is about 22607.0376652935. The cubic root of 511078152 is about 799.5195823897.

The spelling of 511078152 in words is "five hundred eleven million, seventy-eight thousand, one hundred fifty-two".