725488884527 has 16 divisors (see below), whose sum is σ = 798321834240. Its totient is φ = 653816620800.

The previous prime is 725488884503. The next prime is 725488884551.

725488884527 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (725488884503) and next prime (725488884551).

It is a cyclic number.

It is not a de Polignac number, because 725488884527 - 2¹⁶ = 725488818991 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 (725488884587) 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, 676502 + ... + 1381532.

It is an arithmetic number, because the mean of its divisors is an integer number (49895114640).

Almost surely, 2^725488884527 is an apocalyptic number.

725488884527 is a deficient number, since it is larger than the sum of its proper divisors (72832949713).

725488884527 is a wasteful number, since it uses less digits than its factorization.

725488884527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705854.

The product of its digits is 321126400, while the sum is 68.

The spelling of 725488884527 in words is "seven hundred twenty-five billion, four hundred eighty-eight million, eight hundred eighty-four thousand, five hundred twenty-seven".