25083520 has 128 divisors (see below), whose sum is σ = 74908800. Its totient is φ = 7802880.

The previous prime is 25083503. The next prime is 25083529. The reversal of 25083520 is 2538052.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25083529) 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, 49026 + ... + 49534.

It is an arithmetic number, because the mean of its divisors is an integer number (585225).

Almost surely, 2^25083520 is an apocalyptic number.

25083520 is a gapful number since it is divisible by the number (20) 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 25083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37454400).

25083520 is an abundant number, since it is smaller than the sum of its proper divisors (49825280).

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

25083520 is a wasteful number, since it uses less digits than its factorization.

25083520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 25083520 is about 5008.3450360374. The cubic root of 25083520 is about 292.7270304992.

The spelling of 25083520 in words is "twenty-five million, eighty-three thousand, five hundred twenty".