64825122474025 has 27 divisors (see below), whose sum is σ = 80529028794711. Its totient is φ = 51766154185680.

The previous prime is 64825122474011. The next prime is 64825122474031. The reversal of 64825122474025 is 52047422152846.

The square root of 64825122474025 is 8051405.

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

64825122474025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 23337044090649 + 41488078383376 = 4830843^2 + 6441124^2 .

It is not a de Polignac number, because 64825122474025 - 2¹⁵ = 64825122441257 is a prime.

It is a super-2 number, since 2×64825122474025² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29749940386 + ... + 29749942564.

Almost surely, 2^{64825122474025} is an apocalyptic number.

64825122474025 is the 8051405-th square number.

64825122474025 is the 4025703-rd centered octagonal number.

It is an amenable number.

64825122474025 is a deficient number, since it is larger than the sum of its proper divisors (15703906320686).

64825122474025 is an frugal number, since it uses more digits than its factorization.

64825122474025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5846 (or 2923 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 52.

The spelling of 64825122474025 in words is "sixty-four trillion, eight hundred twenty-five billion, one hundred twenty-two million, four hundred seventy-four thousand, twenty-five".