5133900 has 72 divisors (see below), whose sum is σ = 15085840. Its totient is φ = 1347840.

The previous prime is 5133883. The next prime is 5133907. The reversal of 5133900 is 93315.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5133907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32622 + ... + 32778.

Almost surely, 2^5133900 is an apocalyptic number.

5133900 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 5133900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542920).

5133900 is an abundant number, since it is smaller than the sum of its proper divisors (9951940).

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

5133900 is a wasteful number, since it uses less digits than its factorization.

5133900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 5133900 is about 2265.8111130454. The cubic root of 5133900 is about 172.5106063632.

The spelling of 5133900 in words is "five million, one hundred thirty-three thousand, nine hundred".