71553575025 has 81 divisors (see below), whose sum is σ = 136272619171. Its totient is φ = 35882849280.

The previous prime is 71553575003. The next prime is 71553575029. The reversal of 71553575025 is 52057535517.

The square root of 71553575025 is 267495.

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

71553575025 is a `hidden beast` number, since 7 + 1 + 5 + 53 + 575 + 0 + 25 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 1737139041 + 69816435984 = 41679^2 + 264228^2 .

It is not a de Polignac number, because 71553575025 - 2¹⁵ = 71553542257 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 not an unprimeable number, because it can be changed into a prime (71553575029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 68210701 + ... + 68211749.

Almost surely, 2^71553575025 is an apocalyptic number.

71553575025 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

71553575025 is the 267495-th square number.

71553575025 is the 133748-th centered octagonal number.

It is an amenable number.

71553575025 is a deficient number, since it is larger than the sum of its proper divisors (64719044146).

71553575025 is a wasteful number, since it uses less digits than its factorization.

71553575025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 918750, while the sum is 45.

The spelling of 71553575025 in words is "seventy-one billion, five hundred fifty-three million, five hundred seventy-five thousand, twenty-five".