725503305527 has 96 divisors (see below), whose sum is σ = 1075059216000. Its totient is φ = 474204487680.

The previous prime is 725503305491. The next prime is 725503305533.

725503305527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725503305527 - 2¹² = 725503301431 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725503305577) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5361599 + ... + 5495247.

It is an arithmetic number, because the mean of its divisors is an integer number (11198533500).

Almost surely, 2^725503305527 is an apocalyptic number.

725503305527 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

725503305527 is a deficient number, since it is larger than the sum of its proper divisors (349555910473).

725503305527 is a wasteful number, since it uses less digits than its factorization.

725503305527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133737 (or 133726 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 44.

The spelling of 725503305527 in words is "seven hundred twenty-five billion, five hundred three million, three hundred five thousand, five hundred twenty-seven".