75971345641 has 9 divisors (see below), whose sum is σ = 76759111813. Its totient is φ = 75191591200.

The previous prime is 75971345557. The next prime is 75971345651. The reversal of 75971345641 is 14654317957.

The square root of 75971345641 is 275629.

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

It can be written as a sum of positive squares in 4 ways, for example, as 64933742041 + 11037603600 = 254821^2 + 105060^2 .

It is not a de Polignac number, because 75971345641 - 2¹⁷ = 75971214569 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75971345651) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27837165 + ... + 27839893.

Almost surely, 2^75971345641 is an apocalyptic number.

75971345641 is the 275629-th square number.

75971345641 is the 137815-th centered octagonal number.

It is an amenable number.

75971345641 is a deficient number, since it is larger than the sum of its proper divisors (787766172).

75971345641 is an frugal number, since it uses more digits than its factorization.

75971345641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 2830 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 52.

The spelling of 75971345641 in words is "seventy-five billion, nine hundred seventy-one million, three hundred forty-five thousand, six hundred forty-one".