25516512 has 96 divisors (see below), whose sum is σ = 85075200. Its totient is φ = 7288704.

The previous prime is 25516511. The next prime is 25516537. The reversal of 25516512 is 21561552.

25516512 is a `hidden beast` number, since 2 + 5 + 5 + 1 + 651 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25516512² = 1302184769292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25516511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3939 + ... + 8157.

It is an arithmetic number, because the mean of its divisors is an integer number (886200).

Almost surely, 2^25516512 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 25516512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42537600).

25516512 is an abundant number, since it is smaller than the sum of its proper divisors (59558688).

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

25516512 is a wasteful number, since it uses less digits than its factorization.

25516512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4231 counting only the distinct ones).

The product of its digits is 3000, while the sum is 27.

The square root of 25516512 is about 5051.3871362231. The cubic root of 25516512 is about 294.4017830311.

The spelling of 25516512 in words is "twenty-five million, five hundred sixteen thousand, five hundred twelve".