25080100 has 36 divisors (see below), whose sum is σ = 57629124. Its totient is φ = 9441280.

The previous prime is 25080091. The next prime is 25080103. The reversal of 25080100 is 108052.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 36 + 25080064 = 6^2 + 5008^2 .

It is a super-2 number, since 2×25080100² = 1258022832020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25080103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5677 + ... + 9076.

It is an arithmetic number, because the mean of its divisors is an integer number (1600809).

Almost surely, 2^25080100 is an apocalyptic number.

25080100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25080100 is an abundant number, since it is smaller than the sum of its proper divisors (32549024).

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

25080100 is a wasteful number, since it uses less digits than its factorization.

25080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14784 (or 14777 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 25080100 is about 5008.0035942479. The cubic root of 25080100 is about 292.7137259876.

Adding to 25080100 its reverse (108052), we get a palindrome (25188152).

The spelling of 25080100 in words is "twenty-five million, eighty thousand, one hundred".