511213560 has 256 divisors, whose sum is σ = 1861816320. Its totient is φ = 110707200.

The previous prime is 511213559. The next prime is 511213589. The reversal of 511213560 is 65312115.

It is a super-2 number, since 2×511213560² = 522678607855747200, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 511213560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16490745 + ... + 16490775.

It is an arithmetic number, because the mean of its divisors is an integer number (7272720).

Almost surely, 2^511213560 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 511213560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930908160).

511213560 is an abundant number, since it is smaller than the sum of its proper divisors (1350602760).

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

511213560 is a wasteful number, since it uses less digits than its factorization.

511213560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 511213560 is about 22610.0322865758. The cubic root of 511213560 is about 799.5901859347.

Adding to 511213560 its reverse (65312115), we get a palindrome (576525675).

The spelling of 511213560 in words is "five hundred eleven million, two hundred thirteen thousand, five hundred sixty".