25259161032 has 384 divisors, whose sum is σ = 84651091200. Its totient is φ = 6644312064.

The previous prime is 25259161021. The next prime is 25259161049. The reversal of 25259161032 is 23016195252.

It is a happy number.

25259161032 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 9 + 1 + 610 + 32 = 666.

It is a super-3 number, since 3×25259161032³ (a number of 32 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79681738 + ... + 79682054.

It is an arithmetic number, because the mean of its divisors is an integer number (220445550).

Almost surely, 2^25259161032 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 25259161032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42325545600).

25259161032 is an abundant number, since it is smaller than the sum of its proper divisors (59391930168).

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

25259161032 is a wasteful number, since it uses less digits than its factorization.

25259161032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 25259161032 in words is "twenty-five billion, two hundred fifty-nine million, one hundred sixty-one thousand, thirty-two".