25082820 has 144 divisors (see below), whose sum is σ = 92147328. Its totient is φ = 5391360.

The previous prime is 25082807. The next prime is 25082861. The reversal of 25082820 is 2828052.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20835 + ... + 22005.

It is an arithmetic number, because the mean of its divisors is an integer number (639912).

Almost surely, 2^25082820 is an apocalyptic number.

25082820 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 25082820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46073664).

25082820 is an abundant number, since it is smaller than the sum of its proper divisors (67064508).

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

25082820 is a wasteful number, since it uses less digits than its factorization.

25082820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 25082820 is about 5008.2751521856. The cubic root of 25082820 is about 292.7243074520.

The spelling of 25082820 in words is "twenty-five million, eighty-two thousand, eight hundred twenty".