71425235025 has 45 divisors (see below), whose sum is σ = 132326506411. Its totient is φ = 38087044560.

The previous prime is 71425235017. The next prime is 71425235029. The reversal of 71425235025 is 52053252417.

The square root of 71425235025 is 267255.

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

71425235025 is a `hidden beast` number, since 7 + 142 + 5 + 2 + 3 + 502 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25713084609 + 45712150416 = 160353^2 + 213804^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 71425235025 - 2³ = 71425235017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71425235029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12023506 + ... + 12029444.

Almost surely, 2^71425235025 is an apocalyptic number.

71425235025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71425235025 is the 267255-th square number.

71425235025 is the 133628-th centered octagonal number.

It is an amenable number.

71425235025 is a deficient number, since it is larger than the sum of its proper divisors (60901271386).

71425235025 is an frugal number, since it uses more digits than its factorization.

71425235025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11900 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Multiplying 71425235025 by its sum of digits (36), we get a square (2571308460900 = 1603530²).

The spelling of 71425235025 in words is "seventy-one billion, four hundred twenty-five million, two hundred thirty-five thousand, twenty-five".