5259403600 has 120 divisors (see below), whose sum is σ = 13826222208. Its totient is φ = 1906713600.

The previous prime is 5259403579. The next prime is 5259403607. The reversal of 5259403600 is 63049525.

It is a super-2 number, since 2×5259403600² = 55322652455385920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259403607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1613172 + ... + 1616428.

Almost surely, 2^5259403600 is an apocalyptic number.

5259403600 is a gapful number since it is divisible by the number (50) 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 5259403600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913111104).

5259403600 is an abundant number, since it is smaller than the sum of its proper divisors (8566818608).

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

5259403600 is a wasteful number, since it uses less digits than its factorization.

5259403600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3653 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The square root of 5259403600 is about 72521.7457043058. The cubic root of 5259403600 is about 1739.0503912545.

The spelling of 5259403600 in words is "five billion, two hundred fifty-nine million, four hundred three thousand, six hundred".