71130078838225 has 27 divisors (see below), whose sum is σ = 96949166138139. Its totient is φ = 51730629073200.

The previous prime is 71130078838201. The next prime is 71130078838267. The reversal of 71130078838225 is 52283887003117.

The square root of 71130078838225 is 8433865.

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

It can be written as a sum of positive squares in only one way, i.e., 25606828381761 + 45523250456464 = 5060319^2 + 6747092^2 .

It is not a de Polignac number, because 71130078838225 - 2⁵ = 71130078838193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 463785904 + ... + 463939246.

Almost surely, 2^{71130078838225} is an apocalyptic number.

71130078838225 is the 8433865-th square number.

71130078838225 is the 4216933-rd centered octagonal number.

It is an amenable number.

71130078838225 is a deficient number, since it is larger than the sum of its proper divisors (25819087299914).

71130078838225 is an frugal number, since it uses more digits than its factorization.

71130078838225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306718 (or 153359 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 55.

The spelling of 71130078838225 in words is "seventy-one trillion, one hundred thirty billion, seventy-eight million, eight hundred thirty-eight thousand, two hundred twenty-five".