71107039385001 has 9 divisors (see below), whose sum is σ = 102710204541399. Its totient is φ = 47404676058336.

The previous prime is 71107039384993. The next prime is 71107039385029. The reversal of 71107039385001 is 10058393070117.

The square root of 71107039385001 is 8432499.

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

71107039385001 is a `hidden beast` number, since 7 + 1 + 10 + 70 + 39 + 38 + 500 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1264869225 + 71105774515776 = 35565^2 + 8432424^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 71107039385001 - 2³ = 71107039384993 is a prime.

It is a super-2 number, since 2×71107039385001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (71107039387001) 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, 23892081 + ... + 26702913.

Almost surely, 2^{71107039385001} is an apocalyptic number.

71107039385001 is the 8432499-th square number.

71107039385001 is the 4216250-th centered octagonal number.

It is an amenable number.

71107039385001 is a deficient number, since it is larger than the sum of its proper divisors (31603165156398).

71107039385001 is an frugal number, since it uses more digits than its factorization.

71107039385001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621672 (or 2810836 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 71107039385001 in words is "seventy-one trillion, one hundred seven billion, thirty-nine million, three hundred eighty-five thousand, one".