5126402000 has 60 divisors (see below), whose sum is σ = 12403387308. Its totient is φ = 2049280000.

The previous prime is 5126401981. The next prime is 5126402009. The reversal of 5126402000 is 2046215.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 85969984 + 5040432016 = 9272^2 + 70996^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5126402009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3201200 + ... + 3202800.

Almost surely, 2^5126402000 is an apocalyptic number.

5126402000 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 5126402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201693654).

5126402000 is an abundant number, since it is smaller than the sum of its proper divisors (7276985308).

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

5126402000 is an frugal number, since it uses more digits than its factorization.

5126402000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3225 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 5126402000 is about 71598.8966395433. The cubic root of 5126402000 is about 1724.2658221362.

Multiplying 5126402000 by its sum of digits (20), we get a square (102528040000 = 320200²).

5126402000 divided by its sum of digits (20) gives a square (256320100 = 16010²).

Adding to 5126402000 its reverse (2046215), we get a palindrome (5128448215).

The spelling of 5126402000 in words is "five billion, one hundred twenty-six million, four hundred two thousand".