71870532567201 has 21 divisors (see below), whose sum is σ = 107756848121601. Its totient is φ = 47913535780452.

The previous prime is 71870532567173. The next prime is 71870532567271. The reversal of 71870532567201 is 10276523507817.

The square root of 71870532567201 is 8477649.

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

71870532567201 is a `hidden beast` number, since 7 + 1 + 8 + 7 + 0 + 53 + 2 + 567 + 20 + 1 = 666.

It is not a de Polignac number, because 71870532567201 - 2¹³ = 71870532559009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (71870532567271) 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 20 ways as a sum of consecutive naturals, for example, 228739530 + ... + 229053516.

It is an arithmetic number, because the mean of its divisors is an integer number (5131278481981).

Almost surely, 2^{71870532567201} is an apocalyptic number.

71870532567201 is the 8477649-th square number.

71870532567201 is the 4238825-th centered octagonal number.

It is an amenable number.

71870532567201 is a deficient number, since it is larger than the sum of its proper divisors (35886315554400).

71870532567201 is an frugal number, since it uses more digits than its factorization.

71870532567201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627992 (or 313990 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 71870532567201 in words is "seventy-one trillion, eight hundred seventy billion, five hundred thirty-two million, five hundred sixty-seven thousand, two hundred one".