25953077052 has 192 divisors, whose sum is σ = 77851361280. Its totient is φ = 7323825600.

The previous prime is 25953077041. The next prime is 25953077069. The reversal of 25953077052 is 25077035952.

25953077052 is a `hidden beast` number, since 2 + 595 + 3 + 0 + 7 + 7 + 0 + 52 = 666.

It is a super-3 number, since 3×25953077052³ (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25953076989 and 25953077007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26838273 + ... + 26839239.

It is an arithmetic number, because the mean of its divisors is an integer number (405475840).

Almost surely, 2^25953077052 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 25953077052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38925680640).

25953077052 is an abundant number, since it is smaller than the sum of its proper divisors (51898284228).

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

25953077052 is a wasteful number, since it uses less digits than its factorization.

25953077052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1389 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The spelling of 25953077052 in words is "twenty-five billion, nine hundred fifty-three million, seventy-seven thousand, fifty-two".