725438834527 has 16 divisors (see below), whose sum is σ = 793253244672. Its totient is φ = 657935824320.

The previous prime is 725438834441. The next prime is 725438834563.

725438834527 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 725438834527 - 2²³ = 725430445919 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725438894527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51504628 + ... + 51518710.

It is an arithmetic number, because the mean of its divisors is an integer number (49578327792).

Almost surely, 2^725438834527 is an apocalyptic number.

725438834527 is a deficient number, since it is larger than the sum of its proper divisors (67814410145).

725438834527 is a wasteful number, since it uses less digits than its factorization.

725438834527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24798.

The product of its digits is 45158400, while the sum is 58.

The spelling of 725438834527 in words is "seven hundred twenty-five billion, four hundred thirty-eight million, eight hundred thirty-four thousand, five hundred twenty-seven".