25121952 has 72 divisors (see below), whose sum is σ = 75216960. Its totient is φ = 7931520.

The previous prime is 25121939. The next prime is 25121953. The reversal of 25121952 is 25912152.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×25121952² = 1262224944580608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25121953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3177 + ... + 7767.

It is an arithmetic number, because the mean of its divisors is an integer number (1044680).

Almost surely, 2^25121952 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 25121952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37608480).

25121952 is an abundant number, since it is smaller than the sum of its proper divisors (50095008).

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

25121952 is a wasteful number, since it uses less digits than its factorization.

25121952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4615 counting only the distinct ones).

The product of its digits is 1800, while the sum is 27.

The square root of 25121952 is about 5012.1803638736. The cubic root of 25121952 is about 292.8764558919.

The spelling of 25121952 in words is "twenty-five million, one hundred twenty-one thousand, nine hundred fifty-two".