601113349225 has 27 divisors (see below), whose sum is σ = 772114034757. Its totient is φ = 464221406880.

The previous prime is 601113349183. The next prime is 601113349229. The reversal of 601113349225 is 522943311106.

The square root of 601113349225 is 775315.

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

It can be written as a sum of positive squares in 4 ways, for example, as 8262628201 + 592850721024 = 90899^2 + 769968^2 .

It is not a de Polignac number, because 601113349225 - 2⁷ = 601113349097 is a prime.

It is a super-2 number, since 2×601113349225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (601113349229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 112418002 + ... + 112423348.

Almost surely, 2^601113349225 is an apocalyptic number.

601113349225 is the 775315-th square number.

601113349225 is the 387658-th centered octagonal number.

It is an amenable number.

601113349225 is a deficient number, since it is larger than the sum of its proper divisors (171000685532).

601113349225 is an frugal number, since it uses more digits than its factorization.

601113349225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10762 (or 5381 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 601113349225 in words is "six hundred one billion, one hundred thirteen million, three hundred forty-nine thousand, two hundred twenty-five".