25171000452 has 288 divisors, whose sum is σ = 74657786112. Its totient is φ = 7357464576.

The previous prime is 25171000441. The next prime is 25171000453. The reversal of 25171000452 is 25400017152.

25171000452 is a `hidden beast` number, since 2 + 517 + 100 + 0 + 45 + 2 = 666.

It is a super-3 number, since 3×25171000452³ (a number of 32 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25171000453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74691228 + ... + 74691564.

It is an arithmetic number, because the mean of its divisors is an integer number (259228424).

Almost surely, 2^25171000452 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 25171000452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37328893056).

25171000452 is an abundant number, since it is smaller than the sum of its proper divisors (49486785660).

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

25171000452 is a wasteful number, since it uses less digits than its factorization.

25171000452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 25171000452 in words is "twenty-five billion, one hundred seventy-one million, four hundred fifty-two", and thus it is an aban number.