75306885241 has 27 divisors (see below), whose sum is σ = 88493503599. Its totient is φ = 63898381008.

The previous prime is 75306885239. The next prime is 75306885257. The reversal of 75306885241 is 14258860357.

It is a happy number.

The square root of 75306885241 is 274421.

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

It can be written as a sum of positive squares in only one way, i.e., 73785573225 + 1521312016 = 271635^2 + 39004^2 .

It is not a de Polignac number, because 75306885241 - 2¹ = 75306885239 is a prime.

It is a super-2 number, since 2×75306885241² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75306885221) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 378426460 + ... + 378426658.

Almost surely, 2^75306885241 is an apocalyptic number.

75306885241 is the 274421-st square number.

75306885241 is the 137211-st centered octagonal number.

It is an amenable number.

75306885241 is a deficient number, since it is larger than the sum of its proper divisors (13186618358).

75306885241 is an frugal number, since it uses more digits than its factorization.

75306885241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 403 counting only the distinct ones).

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

Multiplying 75306885241 by its sum of digits (49), we get a square (3690037376809 = 1920947²).

75306885241 divided by its sum of digits (49) gives a square (1536875209 = 39203²).

The spelling of 75306885241 in words is "seventy-five billion, three hundred six million, eight hundred eighty-five thousand, two hundred forty-one".