25657000 has 32 divisors (see below), whose sum is σ = 60039720. Its totient is φ = 10262400.

The previous prime is 25656977. The next prime is 25657007. The reversal of 25657000 is 75652.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5280804 + 20376196 = 2298^2 + 4514^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25657007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11829 + ... + 13828.

Almost surely, 2^25657000 is an apocalyptic number.

25657000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25657000 is an abundant number, since it is smaller than the sum of its proper divisors (34382720).

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

25657000 is a wasteful number, since it uses less digits than its factorization.

25657000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25678 (or 25664 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 25.

The square root of 25657000 is about 5065.2739313881. The cubic root of 25657000 is about 294.9410971164.

The spelling of 25657000 in words is "twenty-five million, six hundred fifty-seven thousand".