10259952 has 80 divisors (see below), whose sum is σ = 27989280. Its totient is φ = 3234816.

The previous prime is 10259941. The next prime is 10259969. The reversal of 10259952 is 25995201.

10259952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94074 + ... + 94182.

It is an arithmetic number, because the mean of its divisors is an integer number (349866).

Almost surely, 2^10259952 is an apocalyptic number.

10259952 is a gapful number since it is divisible by the number (12) 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 10259952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13994640).

10259952 is an abundant number, since it is smaller than the sum of its proper divisors (17729328).

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

10259952 is a wasteful number, since it uses less digits than its factorization.

10259952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 10259952 is about 3203.1159829141. The cubic root of 10259952 is about 217.2943544416.

It can be divided in two parts, 10259 and 952, that added together give a palindrome (11211).

The spelling of 10259952 in words is "ten million, two hundred fifty-nine thousand, nine hundred fifty-two".