71486264052025 has 27 divisors (see below), whose sum is σ = 89301954251181. Its totient is φ = 56766973707840.

The previous prime is 71486264052011. The next prime is 71486264052037. The reversal of 71486264052025 is 52025046268417.

It is a happy number.

The square root of 71486264052025 is 8454955.

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

It can be written as a sum of positive squares in 4 ways, for example, as 208566669481 + 71277697382544 = 456691^2 + 8442612^2 .

It is not a de Polignac number, because 71486264052025 - 2¹⁵ = 71486264019257 is a prime.

It is a super-2 number, since 2×71486264052025² (a number of 29 digits) contains 22 as substring.

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, 5791638004 + ... + 5791650346.

Almost surely, 2^{71486264052025} is an apocalyptic number.

71486264052025 is the 8454955-th square number.

71486264052025 is the 4227478-th centered octagonal number.

It is an amenable number.

71486264052025 is a deficient number, since it is larger than the sum of its proper divisors (17815690199156).

71486264052025 is an frugal number, since it uses more digits than its factorization.

71486264052025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24970 (or 12485 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 52.

The spelling of 71486264052025 in words is "seventy-one trillion, four hundred eighty-six billion, two hundred sixty-four million, fifty-two thousand, twenty-five".