75513809300 has 144 divisors (see below), whose sum is σ = 177848533632. Its totient is φ = 27755481600.

The previous prime is 75513809299. The next prime is 75513809303. The reversal of 75513809300 is 390831557.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75513809303) 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 47 ways as a sum of consecutive naturals, for example, 6026642 + ... + 6039158.

Almost surely, 2^75513809300 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 75513809300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88924266816).

75513809300 is an abundant number, since it is smaller than the sum of its proper divisors (102334724332).

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

75513809300 is a wasteful number, since it uses less digits than its factorization.

75513809300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12658 (or 12651 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 41.

The spelling of 75513809300 in words is "seventy-five billion, five hundred thirteen million, eight hundred nine thousand, three hundred".