75130583484100 has 243 divisors, whose sum is σ = 176042494954389. Its totient is φ = 27825686169600.

The previous prime is 75130583484059. The next prime is 75130583484107. The reversal of 75130583484100 is 148438503157.

The square root of 75130583484100 is 8667790.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 72022752970884 + 3107830513216 = 8486622^2 + 1762904^2 .

It is a super-2 number, since 2×75130583484100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75130583484107) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 98726127720 + ... + 98726128480.

Almost surely, 2^{75130583484100} is an apocalyptic number.

75130583484100 is the 8667790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75130583484100

75130583484100 is an abundant number, since it is smaller than the sum of its proper divisors (100911911470289).

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

75130583484100 is an equidigital number, since it uses as much as digits as its factorization.

75130583484100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 49.

The spelling of 75130583484100 in words is "seventy-five trillion, one hundred thirty billion, five hundred eighty-three million, four hundred eighty-four thousand, one hundred".