725075263221 has 32 divisors (see below), whose sum is σ = 1032961351680. Its totient is φ = 451064174400.

The previous prime is 725075263147. The next prime is 725075263223. The reversal of 725075263221 is 122362570527.

It is not a de Polignac number, because 725075263221 - 2¹⁷ = 725075132149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725075263223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4209436 + ... + 4378298.

It is an arithmetic number, because the mean of its divisors is an integer number (32280042240).

Almost surely, 2^725075263221 is an apocalyptic number.

725075263221 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

725075263221 is a deficient number, since it is larger than the sum of its proper divisors (307886088459).

725075263221 is a wasteful number, since it uses less digits than its factorization.

725075263221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170017.

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 725075263221 in words is "seven hundred twenty-five billion, seventy-five million, two hundred sixty-three thousand, two hundred twenty-one".