5257120 has 96 divisors (see below), whose sum is σ = 14152320. Its totient is φ = 1827840.

The previous prime is 5257117. The next prime is 5257121. The reversal of 5257120 is 217525.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 5257091 and 5257100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50989 + ... + 51091.

It is an arithmetic number, because the mean of its divisors is an integer number (147420).

Almost surely, 2^5257120 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 5257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7076160).

5257120 is an abundant number, since it is smaller than the sum of its proper divisors (8895200).

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

5257120 is a wasteful number, since it uses less digits than its factorization.

5257120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 5257120 is about 2292.8410324312. The cubic root of 5257120 is about 173.8798659900.

The spelling of 5257120 in words is "five million, two hundred fifty-seven thousand, one hundred twenty".