25257042 has 64 divisors (see below), whose sum is σ = 59904000. Its totient is φ = 7865424.

The previous prime is 25257007. The next prime is 25257077. The reversal of 25257042 is 24075252.

25257042 is a `hidden beast` number, since 2 + 52 + 570 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (25257007) and next prime (25257077).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 25256997 and 25257015.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105559 + ... + 105797.

It is an arithmetic number, because the mean of its divisors is an integer number (936000).

Almost surely, 2^25257042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25257042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29952000).

25257042 is an abundant number, since it is smaller than the sum of its proper divisors (34646958).

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

25257042 is a wasteful number, since it uses less digits than its factorization.

25257042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 25257042 is about 5025.6384669015. The cubic root of 25257042 is about 293.4004859456.

The spelling of 25257042 in words is "twenty-five million, two hundred fifty-seven thousand, forty-two".