5133625328250 has 192 divisors, whose sum is σ = 14887621981440. Its totient is φ = 1272445200000.

The previous prime is 5133625328213. The next prime is 5133625328281. The reversal of 5133625328250 is 528235263315.

5133625328250 is a `hidden beast` number, since 5 + 1 + 3 + 3 + 62 + 532 + 8 + 2 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 5133625328196 and 5133625328205.

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, 1132875 + ... + 3398625.

It is an arithmetic number, because the mean of its divisors is an integer number (77539697820).

Almost surely, 2^{5133625328250} is an apocalyptic number.

5133625328250 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a pronic number, being equal to 2265750×2265751.

It is a practical number, because each smaller number is the sum of distinct divisors of 5133625328250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443810990720).

5133625328250 is an abundant number, since it is smaller than the sum of its proper divisors (9753996653190).

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

5133625328250 is a wasteful number, since it uses less digits than its factorization.

5133625328250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265846 (or 2265833 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 5133625328250 in words is "five trillion, one hundred thirty-three billion, six hundred twenty-five million, three hundred twenty-eight thousand, two hundred fifty".