725889585988527 has 8 divisors (see below), whose sum is σ = 967854720072240. Its totient is φ = 483925421281920.

The previous prime is 725889585988519. The next prime is 725889585988537.

725889585988527 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 725889585988527 - 2³ = 725889585988519 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725889585988537) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 240595224 + ... + 243593597.

It is an arithmetic number, because the mean of its divisors is an integer number (120981840009030).

Almost surely, 2^{725889585988527} is an apocalyptic number.

725889585988527 is a deficient number, since it is larger than the sum of its proper divisors (241965134083713).

725889585988527 is a wasteful number, since it uses less digits than its factorization.

725889585988527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484688553.

The product of its digits is 325140480000, while the sum is 96.

The spelling of 725889585988527 in words is "seven hundred twenty-five trillion, eight hundred eighty-nine billion, five hundred eighty-five million, nine hundred eighty-eight thousand, five hundred twenty-seven".