512188950 has 192 divisors, whose sum is σ = 1579898880. Its totient is φ = 106928640.

The previous prime is 512188949. The next prime is 512188973. The reversal of 512188950 is 59881215.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 512188899 and 512188908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2142931 + ... + 2143169.

It is an arithmetic number, because the mean of its divisors is an integer number (8228640).

Almost surely, 2^512188950 is an apocalyptic number.

512188950 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 512188950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789949440).

512188950 is an abundant number, since it is smaller than the sum of its proper divisors (1067709930).

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

512188950 is a wasteful number, since it uses less digits than its factorization.

512188950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 39.

The square root of 512188950 is about 22631.5918574015. The cubic root of 512188950 is about 800.0983993548.

The spelling of 512188950 in words is "five hundred twelve million, one hundred eighty-eight thousand, nine hundred fifty".