71270251333461 has 12 divisors (see below), whose sum is σ = 103697348657292. Its totient is φ = 47166687013056.

The previous prime is 71270251333459. The next prime is 71270251333487. The reversal of 71270251333461 is 16433315207217.

71270251333461 is a `hidden beast` number, since 7 + 1 + 2 + 7 + 0 + 251 + 3 + 334 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19336335236100 + 51933916097361 = 4397310^2 + 7206519^2 .

It is not a de Polignac number, because 71270251333461 - 2¹ = 71270251333459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71270251533461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28901155026 + ... + 28901157491.

It is an arithmetic number, because the mean of its divisors is an integer number (8641445721441).

Almost surely, 2^{71270251333461} is an apocalyptic number.

It is an amenable number.

71270251333461 is a deficient number, since it is larger than the sum of its proper divisors (32427097323831).

71270251333461 is a wasteful number, since it uses less digits than its factorization.

71270251333461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57802312660 (or 57802312657 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 71270251333461 in words is "seventy-one trillion, two hundred seventy billion, two hundred fifty-one million, three hundred thirty-three thousand, four hundred sixty-one".