725565513645 has 48 divisors (see below), whose sum is σ = 1472367117312. Its totient is φ = 323597157120.

The previous prime is 725565513643. The next prime is 725565513679. The reversal of 725565513645 is 546315565527.

725565513645 is a `hidden beast` number, since 7 + 2 + 5 + 5 + 65 + 513 + 64 + 5 = 666.

It is not a de Polignac number, because 725565513645 - 2¹ = 725565513643 is a prime.

It is a super-3 number, since 3×725565513645³ (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 725565513591 and 725565513600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725565513643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28077117 + ... + 28102946.

It is an arithmetic number, because the mean of its divisors is an integer number (30674314944).

Almost surely, 2^725565513645 is an apocalyptic number.

It is an amenable number.

725565513645 is an abundant number, since it is smaller than the sum of its proper divisors (746801603667).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

725565513645 is a wasteful number, since it uses less digits than its factorization.

725565513645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56180122 (or 56180119 counting only the distinct ones).

The product of its digits is 18900000, while the sum is 54.

The spelling of 725565513645 in words is "seven hundred twenty-five billion, five hundred sixty-five million, five hundred thirteen thousand, six hundred forty-five".