511625640 has 128 divisors (see below), whose sum is σ = 1589616000. Its totient is φ = 131632128.

The previous prime is 511625633. The next prime is 511625651. The reversal of 511625640 is 46526115.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 511625598 and 511625607.

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 31 ways as a sum of consecutive naturals, for example, 616746 + ... + 617574.

It is an arithmetic number, because the mean of its divisors is an integer number (12418875).

Almost surely, 2^511625640 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 511625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794808000).

511625640 is an abundant number, since it is smaller than the sum of its proper divisors (1077990360).

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

511625640 is a wasteful number, since it uses less digits than its factorization.

511625640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 511625640 is about 22619.1432198481. The cubic root of 511625640 is about 799.8049732929.

The spelling of 511625640 in words is "five hundred eleven million, six hundred twenty-five thousand, six hundred forty".