512212153050 has 288 divisors, whose sum is σ = 1574847172080. Its totient is φ = 118237593600.

The previous prime is 512212153027. The next prime is 512212153109. The reversal of 512212153050 is 50351212215.

512212153050 is a `hidden beast` number, since 5 + 1 + 2 + 2 + 121 + 530 + 5 + 0 = 666.

512212153050 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 5226856209 + 506985296841 = 72297^2 + 712029^2 .

It is a super-2 number, since 2×512212153050² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27936286 + ... + 27954614.

Almost surely, 2^512212153050 is an apocalyptic number.

512212153050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 512212153050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787423586040).

512212153050 is an abundant number, since it is smaller than the sum of its proper divisors (1062635019030).

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

512212153050 is a wasteful number, since it uses less digits than its factorization.

512212153050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18658 (or 18650 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 512212153050 its reverse (50351212215), we get a palindrome (562563365265).

The spelling of 512212153050 in words is "five hundred twelve billion, two hundred twelve million, one hundred fifty-three thousand, fifty".