25573152 has 96 divisors (see below), whose sum is σ = 74620224. Its totient is φ = 7603200.

The previous prime is 25573147. The next prime is 25573153. The reversal of 25573152 is 25137552.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×25573152² = 1307972206430208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (25573153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64218 + ... + 64614.

It is an arithmetic number, because the mean of its divisors is an integer number (777294).

Almost surely, 2^25573152 is an apocalyptic number.

25573152 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 25573152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37310112).

25573152 is an abundant number, since it is smaller than the sum of its proper divisors (49047072).

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

25573152 is a wasteful number, since it uses less digits than its factorization.

25573152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its digits is 10500, while the sum is 30.

The square root of 25573152 is about 5056.9904093245. The cubic root of 25573152 is about 294.6194537717.

Subtracting from 25573152 its reverse (25137552), we obtain a square (435600 = 660²).

The spelling of 25573152 in words is "twenty-five million, five hundred seventy-three thousand, one hundred fifty-two".