5252121600 has 264 divisors, whose sum is σ = 18939630048. Its totient is φ = 1273036800.

The previous prime is 5252121577. The next prime is 5252121613. The reversal of 5252121600 is 61212525.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 841692 + ... + 847908.

Almost surely, 2^5252121600 is an apocalyptic number.

5252121600 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 5252121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9469815024).

5252121600 is an abundant number, since it is smaller than the sum of its proper divisors (13687508448).

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

5252121600 is a wasteful number, since it uses less digits than its factorization.

5252121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5252121600 is about 72471.5226830512. The cubic root of 5252121600 is about 1738.2474095842.

The spelling of 5252121600 in words is "five billion, two hundred fifty-two million, one hundred twenty-one thousand, six hundred".