25352726652 has 384 divisors, whose sum is σ = 76877660160. Its totient is φ = 7153920000.

The previous prime is 25352726593. The next prime is 25352726701. The reversal of 25352726652 is 25662725352.

25352726652 is a `hidden beast` number, since 2 + 53 + 527 + 26 + 6 + 52 = 666.

It is a super-2 number, since 2×25352726652² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1512000) is a multiple of the sum of its prime factors (350).

It is a junction number, because it is equal to n+sod(n) for n = 25352726598 and 25352726607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 167898777 + ... + 167898927.

It is an arithmetic number, because the mean of its divisors is an integer number (200202240).

Almost surely, 2^25352726652 is an apocalyptic number.

25352726652 is a gapful number since it is divisible by the number (22) 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 25352726652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38438830080).

25352726652 is an abundant number, since it is smaller than the sum of its proper divisors (51524933508).

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

25352726652 is a wasteful number, since it uses less digits than its factorization.

25352726652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 342 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 45.

The spelling of 25352726652 in words is "twenty-five billion, three hundred fifty-two million, seven hundred twenty-six thousand, six hundred fifty-two".