25290000 has 150 divisors (see below), whose sum is σ = 88757526. Its totient is φ = 6720000.

The previous prime is 25289993. The next prime is 25290019. The reversal of 25290000 is 9252.

It can be written as a sum of positive squares in 5 ways, for example, as 7750656 + 17539344 = 2784^2 + 4188^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89860 + ... + 90140.

Almost surely, 2^25290000 is an apocalyptic number.

25290000 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 25290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44378763).

25290000 is an abundant number, since it is smaller than the sum of its proper divisors (63467526).

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

25290000 is a wasteful number, since it uses less digits than its factorization.

25290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 25290000 is about 5028.9163842721. The cubic root of 25290000 is about 293.5280502393.

Adding to 25290000 its reverse (9252), we get a palindrome (25299252).

The spelling of 25290000 in words is "twenty-five million, two hundred ninety thousand".