5242607201300 has 288 divisors, whose sum is σ = 14154856531200. Its totient is φ = 1678793625600.

The previous prime is 5242607201287. The next prime is 5242607201303. The reversal of 5242607201300 is 31027062425.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5242607201303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76351784 + ... + 76420416.

It is an arithmetic number, because the mean of its divisors is an integer number (49148807400).

Almost surely, 2^{5242607201300} is an apocalyptic number.

5242607201300 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 5242607201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077428265600).

5242607201300 is an abundant number, since it is smaller than the sum of its proper divisors (8912249329900).

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

5242607201300 is a wasteful number, since it uses less digits than its factorization.

5242607201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68816 (or 68795 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The spelling of 5242607201300 in words is "five trillion, two hundred forty-two billion, six hundred seven million, two hundred one thousand, three hundred".