725305717071 has 144 divisors (see below), whose sum is σ = 1256643460800. Its totient is φ = 399873272832.

The previous prime is 725305717061. The next prime is 725305717079. The reversal of 725305717071 is 170717503527.

725305717071 is a `hidden beast` number, since 7 + 2 + 5 + 3 + 0 + 571 + 7 + 0 + 71 = 666.

It is not a de Polignac number, because 725305717071 - 2⁷ = 725305716943 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725305717079) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 86454945 + ... + 86463333.

It is an arithmetic number, because the mean of its divisors is an integer number (8726690700).

Almost surely, 2^725305717071 is an apocalyptic number.

725305717071 is a deficient number, since it is larger than the sum of its proper divisors (531337743729).

725305717071 is a wasteful number, since it uses less digits than its factorization.

725305717071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8558 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 360150, while the sum is 45.

The spelling of 725305717071 in words is "seven hundred twenty-five billion, three hundred five million, seven hundred seventeen thousand, seventy-one".