2525513400 has 144 divisors (see below), whose sum is σ = 8495884800. Its totient is φ = 672330240.

The previous prime is 2525513377. The next prime is 2525513407. The reversal of 2525513400 is 43155252.

It is a happy number.

2525513400 is a `hidden beast` number, since 2 + 5 + 255 + 1 + 3 + 400 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2525513407) 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 35 ways as a sum of consecutive naturals, for example, 1973961 + ... + 1975239.

It is an arithmetic number, because the mean of its divisors is an integer number (58999200).

Almost surely, 2^2525513400 is an apocalyptic number.

2525513400 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 2525513400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247942400).

2525513400 is an abundant number, since it is smaller than the sum of its proper divisors (5970371400).

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

2525513400 is a wasteful number, since it uses less digits than its factorization.

2525513400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 2525513400 is about 50254.4863668907. The cubic root of 2525513400 is about 1361.8101257432.

Adding to 2525513400 its reverse (43155252), we get a palindrome (2568668652).

The spelling of 2525513400 in words is "two billion, five hundred twenty-five million, five hundred thirteen thousand, four hundred".