725429404924527 has 16 divisors (see below), whose sum is σ = 1000593540771840. Its totient is φ = 466942478117472.

The previous prime is 725429404924453. The next prime is 725429404924579.

725429404924527 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 725429404924527 - 2¹⁵ = 725429404891759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725429404924327) 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, 70620958 + ... + 80238260.

It is an arithmetic number, because the mean of its divisors is an integer number (62537096298240).

Almost surely, 2^{725429404924527} is an apocalyptic number.

725429404924527 is a deficient number, since it is larger than the sum of its proper divisors (275164135847313).

725429404924527 is a wasteful number, since it uses less digits than its factorization.

725429404924527 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10484342.

The product of its (nonzero) digits is 406425600, while the sum is 66.

The spelling of 725429404924527 in words is "seven hundred twenty-five trillion, four hundred twenty-nine billion, four hundred four million, nine hundred twenty-four thousand, five hundred twenty-seven".