512355102228 has 144 divisors (see below), whose sum is σ = 1397281616640. Its totient is φ = 157765708800.

The previous prime is 512355102227. The next prime is 512355102317. The reversal of 512355102228 is 822201553215.

512355102228 is a `hidden beast` number, since 512 + 35 + 5 + 102 + 2 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 512355102192 and 512355102201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512355102227) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70695301 + ... + 70702547.

It is an arithmetic number, because the mean of its divisors is an integer number (9703344560).

Almost surely, 2^512355102228 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 512355102228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698640808320).

512355102228 is an abundant number, since it is smaller than the sum of its proper divisors (884926514412).

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

512355102228 is a wasteful number, since it uses less digits than its factorization.

512355102228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9838 (or 9833 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 512355102228 in words is "five hundred twelve billion, three hundred fifty-five million, one hundred two thousand, two hundred twenty-eight".