25513528240 has 80 divisors (see below), whose sum is σ = 61398855936. Its totient is φ = 9849369600.

The previous prime is 25513528231. The next prime is 25513528241. The reversal of 25513528240 is 4282531552.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×25513528240³ (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25513528240.

It is not an unprimeable number, because it can be changed into a prime (25513528241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 911250 + ... + 938830.

Almost surely, 2^25513528240 is an apocalyptic number.

25513528240 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 25513528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30699427968).

25513528240 is an abundant number, since it is smaller than the sum of its proper divisors (35885327696).

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

25513528240 is a wasteful number, since it uses less digits than its factorization.

25513528240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27998 (or 27992 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 37.

The spelling of 25513528240 in words is "twenty-five billion, five hundred thirteen million, five hundred twenty-eight thousand, two hundred forty".