5133195900 has 648 divisors, whose sum is σ = 20422505376. Its totient is φ = 1070899200.

The previous prime is 5133195889. The next prime is 5133195911. The reversal of 5133195900 is 95913315.

5133195900 is a `hidden beast` number, since 51 + 3 + 3 + 19 + 590 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5133195889) and next prime (5133195911).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 30737617 + ... + 30737783.

It is an arithmetic number, because the mean of its divisors is an integer number (31516212).

Almost surely, 2^5133195900 is an apocalyptic number.

5133195900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5133195900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10211252688).

5133195900 is an abundant number, since it is smaller than the sum of its proper divisors (15289309476).

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

5133195900 is a wasteful number, since it uses less digits than its factorization.

5133195900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

The square root of 5133195900 is about 71646.3250976629. The cubic root of 5133195900 is about 1725.0271955385.

The spelling of 5133195900 in words is "five billion, one hundred thirty-three million, one hundred ninety-five thousand, nine hundred".