7513453368300 has 216 divisors, whose sum is σ = 24171119824320. Its totient is φ = 1787074182400.

The previous prime is 7513453368229. The next prime is 7513453368301. The reversal of 7513453368300 is 38633543157.

It is a self number, because there is not a number n which added to its sum of digits gives 7513453368300.

It is not an unprimeable number, because it can be changed into a prime (7513453368301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8864431 + ... + 9674969.

It is an arithmetic number, because the mean of its divisors is an integer number (111903332520).

Almost surely, 2^{7513453368300} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7513453368300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12085559912160).

7513453368300 is an abundant number, since it is smaller than the sum of its proper divisors (16657666456020).

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

7513453368300 is a wasteful number, since it uses less digits than its factorization.

7513453368300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810673 (or 810613 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 48.

The spelling of 7513453368300 in words is "seven trillion, five hundred thirteen billion, four hundred fifty-three million, three hundred sixty-eight thousand, three hundred".