25531413552 has 240 divisors, whose sum is σ = 81147886560. Its totient is φ = 7444389888.

The previous prime is 25531413539. The next prime is 25531413587.

25531413552 is a `hidden beast` number, since 2 + 5 + 531 + 41 + 35 + 52 = 666.

25531413552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2459958 + ... + 2470314.

It is an arithmetic number, because the mean of its divisors is an integer number (338116194).

Almost surely, 2^25531413552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25531413552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40573943280).

25531413552 is an abundant number, since it is smaller than the sum of its proper divisors (55616473008).

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

25531413552 is a wasteful number, since it uses less digits than its factorization.

25531413552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10460 (or 10451 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The spelling of 25531413552 in words is "twenty-five billion, five hundred thirty-one million, four hundred thirteen thousand, five hundred fifty-two".