5203952 has 40 divisors (see below), whose sum is σ = 10999296. Its totient is φ = 2370816.

The previous prime is 5203949. The next prime is 5203969. The reversal of 5203952 is 2593025.

It is a super-2 number, since 2×5203952² = 54162232836608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26318 + ... + 26514.

Almost surely, 2^5203952 is an apocalyptic number.

5203952 is a gapful number since it is divisible by the number (52) 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 5203952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5499648).

5203952 is an abundant number, since it is smaller than the sum of its proper divisors (5795344).

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

5203952 is a wasteful number, since it uses less digits than its factorization.

5203952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 5203952 is about 2281.2172189426. The cubic root of 5203952 is about 173.2916994022.

Adding to 5203952 its reverse (2593025), we get a palindrome (7796977).

The spelling of 5203952 in words is "five million, two hundred three thousand, nine hundred fifty-two".