25135488 has 128 divisors (see below), whose sum is σ = 84864000. Its totient is φ = 7174656.

The previous prime is 25135441. The next prime is 25135493. The reversal of 25135488 is 88453152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23673 + ... + 24711.

It is an arithmetic number, because the mean of its divisors is an integer number (663000).

Almost surely, 2^25135488 is an apocalyptic number.

25135488 is a gapful number since it is divisible by the number (28) 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 25135488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42432000).

25135488 is an abundant number, since it is smaller than the sum of its proper divisors (59728512).

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

25135488 is a wasteful number, since it uses less digits than its factorization.

25135488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1051 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 25135488 is about 5013.5304925771. The cubic root of 25135488 is about 292.9290481944.

It can be divided in two parts, 2513 and 5488, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 25135488 in words is "twenty-five million, one hundred thirty-five thousand, four hundred eighty-eight".