71052002685225 has 81 divisors (see below), whose sum is σ = 128424034884847. Its totient is φ = 37551500152320.

The previous prime is 71052002685179. The next prime is 71052002685229. The reversal of 71052002685225 is 52258620025017.

The square root of 71052002685225 is 8429235.

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

71052002685225 is a `hidden beast` number, since 7 + 1 + 0 + 520 + 0 + 26 + 85 + 2 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 69626825144361 + 1425177540864 = 8344269^2 + 1193808^2 .

It is not a de Polignac number, because 71052002685225 - 2²⁷ = 71051868467497 is a prime.

It is a super-2 number, since 2×71052002685225² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71052002685229) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 14287550839 + ... + 14287555811.

Almost surely, 2^{71052002685225} is an apocalyptic number.

71052002685225 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71052002685225 is the 8429235-th square number.

71052002685225 is the 4214618-th centered octagonal number.

It is an amenable number.

71052002685225 is a deficient number, since it is larger than the sum of its proper divisors (57372032199622).

71052002685225 is an frugal number, since it uses more digits than its factorization.

71052002685225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10188 (or 5094 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 71052002685225 in words is "seventy-one trillion, fifty-two billion, two million, six hundred eighty-five thousand, two hundred twenty-five".