71260526144025 has 135 divisors (see below), whose sum is σ = 132996610148941. Its totient is φ = 37720558163520.

The previous prime is 71260526143921. The next prime is 71260526144063. The reversal of 71260526144025 is 52044162506217.

The square root of 71260526144025 is 8441595.

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

71260526144025 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 0 + 5 + 2 + 614 + 4 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21267933688089 + 49992592455936 = 4611717^2 + 7070544^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 71260526144025 - 2⁴¹ = 69061502888473 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 56600893846 + ... + 56600895104.

Almost surely, 2^{71260526144025} is an apocalyptic number.

71260526144025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71260526144025 is the 8441595-th square number.

71260526144025 is the 4220798-th centered octagonal number.

It is an amenable number.

71260526144025 is a deficient number, since it is larger than the sum of its proper divisors (61736084004916).

71260526144025 is an frugal number, since it uses more digits than its factorization.

71260526144025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 71260526144025 in words is "seventy-one trillion, two hundred sixty billion, five hundred twenty-six million, one hundred forty-four thousand, twenty-five".