5125435128 has 144 divisors (see below), whose sum is σ = 16156052640. Its totient is φ = 1461757440.

The previous prime is 5125435123. The next prime is 5125435157. The reversal of 5125435128 is 8215345215.

5125435128 is a `hidden beast` number, since 51 + 254 + 351 + 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 = 5125435092 and 5125435101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5125435121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130801 + ... + 165407.

It is an arithmetic number, because the mean of its divisors is an integer number (112194810).

Almost surely, 2^5125435128 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 5125435128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8078026320).

5125435128 is an abundant number, since it is smaller than the sum of its proper divisors (11030617512).

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

5125435128 is a wasteful number, since it uses less digits than its factorization.

5125435128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34658 (or 34640 counting only the distinct ones).

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

The square root of 5125435128 is about 71592.1443176554. The cubic root of 5125435128 is about 1724.1574128226.

The spelling of 5125435128 in words is "five billion, one hundred twenty-five million, four hundred thirty-five thousand, one hundred twenty-eight".