725587541 has 24 divisors (see below), whose sum is σ = 857736000. Its totient is φ = 611924544.

The previous prime is 725587529. The next prime is 725587573. The reversal of 725587541 is 145785527.

It is not a de Polignac number, because 725587541 - 2¹⁸ = 725325397 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 725587492 and 725587501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725587441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1652600 + ... + 1653038.

It is an arithmetic number, because the mean of its divisors is an integer number (35739000).

Almost surely, 2^725587541 is an apocalyptic number.

It is an amenable number.

725587541 is a deficient number, since it is larger than the sum of its proper divisors (132148459).

725587541 is a wasteful number, since it uses less digits than its factorization.

725587541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 921 (or 914 counting only the distinct ones).

The product of its digits is 392000, while the sum is 44.

The square root of 725587541 is about 26936.7321885933. The cubic root of 725587541 is about 898.5934989797.

The spelling of 725587541 in words is "seven hundred twenty-five million, five hundred eighty-seven thousand, five hundred forty-one".