66257334025 has 9 divisors (see below), whose sum is σ = 82160690133. Its totient is φ = 53004837600.

The previous prime is 66257334023. The next prime is 66257334079. The reversal of 66257334025 is 52043375266.

The square root of 66257334025 is 257405.

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 11503206009 + 54754128016 = 107253^2 + 233996^2 .

It is not a de Polignac number, because 66257334025 - 2¹ = 66257334023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66257334023) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1261285 + ... + 1312765.

Almost surely, 2^66257334025 is an apocalyptic number.

66257334025 is the 257405-th square number.

66257334025 is the 128703-rd centered octagonal number.

It is an amenable number.

66257334025 is a deficient number, since it is larger than the sum of its proper divisors (15903356108).

66257334025 is an frugal number, since it uses more digits than its factorization.

66257334025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102972 (or 51486 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 66257334025 in words is "sixty-six billion, two hundred fifty-seven million, three hundred thirty-four thousand, twenty-five".