25273152 has 168 divisors, whose sum is σ = 80238600. Its totient is φ = 7569408.

The previous prime is 25273141. The next prime is 25273163. The reversal of 25273152 is 25137252.

It is an interprime number because it is at equal distance from previous prime (25273141) and next prime (25273163).

It can be written as a sum of positive squares in 4 ways, for example, as 3594816 + 21678336 = 1896^2 + 4656^2 .

Its product of digits (4200) is a multiple of the sum of its prime divisors (140).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283924 + ... + 284012.

Almost surely, 2^25273152 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 25273152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40119300).

25273152 is an abundant number, since it is smaller than the sum of its proper divisors (54965448).

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

25273152 is a wasteful number, since it uses less digits than its factorization.

25273152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 25273152 is about 5027.2409928310. The cubic root of 25273152 is about 293.4628537297.

It can be divided in two parts, 25273 and 152, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 25273152 in words is "twenty-five million, two hundred seventy-three thousand, one hundred fifty-two".