725956824961 has 3 divisors (see below), whose sum is σ = 725957676993. Its totient is φ = 725955972930.

The previous prime is 725956824959. The next prime is 725956824979. The reversal of 725956824961 is 169428659527.

The square root of 725956824961 is 852031.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 169428659527 = 163 ⋅1039439629.

It is not a de Polignac number, because 725956824961 - 2¹ = 725956824959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 725956824893 and 725956824902.

It is not an unprimeable number, because it can be changed into a prime (725956825961) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 426016 + ... + 1278046.

It is an arithmetic number, because the mean of its divisors is an integer number (241985892331).

Almost surely, 2^725956824961 is an apocalyptic number.

725956824961 is the 852031-st square number.

725956824961 is the 426016-th centered octagonal number.

It is an amenable number.

725956824961 is a deficient number, since it is larger than the sum of its proper divisors (852032).

725956824961 is an frugal number, since it uses more digits than its factorization.

725956824961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704062 (or 852031 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 64.

Multiplying 725956824961 by its sum of digits (64), we get a square (46461236797504 = 6816248²).

The spelling of 725956824961 in words is "seven hundred twenty-five billion, nine hundred fifty-six million, eight hundred twenty-four thousand, nine hundred sixty-one".