25783506 has 144 divisors (see below), whose sum is σ = 71705088. Its totient is φ = 6652800.

The previous prime is 25783463. The next prime is 25783507. The reversal of 25783506 is 60538752.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25783507) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 628846 + ... + 628886.

It is an arithmetic number, because the mean of its divisors is an integer number (497952).

Almost surely, 2^25783506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25783506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35852544).

25783506 is an abundant number, since it is smaller than the sum of its proper divisors (45921582).

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

25783506 is a wasteful number, since it uses less digits than its factorization.

25783506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 25783506 is about 5077.7461535607. The cubic root of 25783506 is about 295.4250542154.

It can be divided in two parts, 2578 and 3506, that added together give a square (6084 = 78²).

The spelling of 25783506 in words is "twenty-five million, seven hundred eighty-three thousand, five hundred six".