64112772025 has 27 divisors (see below), whose sum is σ = 80544684871. Its totient is φ = 50624794880.

The previous prime is 64112772007. The next prime is 64112772029. The reversal of 64112772025 is 52027721146.

The square root of 64112772025 is 253205.

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

It can be written as a sum of positive squares in 13 ways, for example, as 63914412969 + 198359056 = 252813^2 + 14084^2 .

It is not a de Polignac number, because 64112772025 - 2⁷ = 64112771897 is a prime.

It is a super-2 number, since 2×64112772025² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64112772029) 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, 112675941 + ... + 112676509.

Almost surely, 2^64112772025 is an apocalyptic number.

64112772025 is the 253205-th square number.

64112772025 is the 126603-rd centered octagonal number.

It is an amenable number.

64112772025 is a deficient number, since it is larger than the sum of its proper divisors (16431912846).

64112772025 is an frugal number, since it uses more digits than its factorization.

64112772025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 64112772025 in words is "sixty-four billion, one hundred twelve million, seven hundred seventy-two thousand, twenty-five".