25561536 has 336 divisors, whose sum is σ = 97292160. Its totient is φ = 5806080.

The previous prime is 25561519. The next prime is 25561541. The reversal of 25561536 is 63516552.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (27000) is a multiple of the sum of its prime factors (72).

It is a junction number, because it is equal to n+sod(n) for n = 25561497 and 25561506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1345335 + ... + 1345353.

It is an arithmetic number, because the mean of its divisors is an integer number (289560).

Almost surely, 2^25561536 is an apocalyptic number.

25561536 is a gapful number since it is divisible by the number (26) 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 25561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48646080).

25561536 is an abundant number, since it is smaller than the sum of its proper divisors (71730624).

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

25561536 is a wasteful number, since it uses less digits than its factorization.

25561536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 55 counting only the distinct ones).

The product of its digits is 27000, while the sum is 33.

The square root of 25561536 is about 5055.8417696759. The cubic root of 25561536 is about 294.5748390410.

The spelling of 25561536 in words is "twenty-five million, five hundred sixty-one thousand, five hundred thirty-six".