5125120 has 176 divisors, whose sum is σ = 16507008. Its totient is φ = 1474560.

The previous prime is 5125093. The next prime is 5125139. The reversal of 5125120 is 215215.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 5125094 and 5125103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394234 + ... + 394246.

Almost surely, 2^5125120 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 5125120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253504).

5125120 is an abundant number, since it is smaller than the sum of its proper divisors (11381888).

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

5125120 is a wasteful number, since it uses less digits than its factorization.

5125120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 5125120 is about 2263.8727879455. The cubic root of 5125120 is about 172.4122076544.

The spelling of 5125120 in words is "five million, one hundred twenty-five thousand, one hundred twenty".