71318025 has 27 divisors (see below), whose sum is σ = 127965799. Its totient is φ = 37968720.

The previous prime is 71318017. The next prime is 71318033. The reversal of 71318025 is 52081317.

The square root of 71318025 is 8445.

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

It is an interprime number because it is at equal distance from previous prime (71318017) and next prime (71318033).

It can be written as a sum of positive squares in only one way, i.e., 25674489 + 45643536 = 5067^2 + 6756^2 .

It is not a de Polignac number, because 71318025 - 2³ = 71318017 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 71318025.

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, 126394 + ... + 126956.

Almost surely, 2^71318025 is an apocalyptic number.

71318025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71318025 is the 8445-th square number.

71318025 is the 4223-rd centered octagonal number.

It is an amenable number.

71318025 is a deficient number, since it is larger than the sum of its proper divisors (56647774).

71318025 is an equidigital number, since it uses as much as digits as its factorization.

71318025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The cubic root of 71318025 is about 414.6991093258.

It can be divided in two parts, 71 and 318025, that added together give a square (318096 = 564²).

The spelling of 71318025 in words is "seventy-one million, three hundred eighteen thousand, twenty-five".