725098211361 has 24 divisors (see below), whose sum is σ = 1051275782856. Its totient is φ = 481594014720.

The previous prime is 725098211351. The next prime is 725098211381. The reversal of 725098211361 is 163112890527.

725098211361 is a `hidden beast` number, since 7 + 2 + 509 + 8 + 2 + 1 + 136 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 102364163136 + 622734048225 = 319944^2 + 789135^2 .

It is not a de Polignac number, because 725098211361 - 2¹⁰ = 725098210337 is a prime.

It is a super-2 number, since 2×725098211361² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (725098211351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16550661 + ... + 16594413.

It is an arithmetic number, because the mean of its divisors is an integer number (43803157619).

Almost surely, 2^725098211361 is an apocalyptic number.

It is an amenable number.

725098211361 is a deficient number, since it is larger than the sum of its proper divisors (326177571495).

725098211361 is a wasteful number, since it uses less digits than its factorization.

725098211361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50593 (or 50590 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 725098211361 in words is "seven hundred twenty-five billion, ninety-eight million, two hundred eleven thousand, three hundred sixty-one".