520212444212025 has 72 divisors (see below), whose sum is σ = 941139942663960. Its totient is φ = 274654005120000.

The previous prime is 520212444212009. The next prime is 520212444212089.

520212444212025 is a `hidden beast` number, since 5 + 2 + 0 + 2 + 1 + 2 + 4 + 442 + 1 + 202 + 5 = 666.

520212444212025 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 12 ways, for example, as 1674511052841 + 518537933159184 = 1294029^2 + 22771428^2 .

It is not a de Polignac number, because 520212444212025 - 2⁴ = 520212444212009 is a prime.

It is a super-2 number, since 2×520212444212025² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135110565 + ... + 138907485.

It is an arithmetic number, because the mean of its divisors is an integer number (13071388092555).

Almost surely, 2^{520212444212025} is an apocalyptic number.

It is an amenable number.

520212444212025 is a deficient number, since it is larger than the sum of its proper divisors (420927498451935).

520212444212025 is a wasteful number, since it uses less digits than its factorization.

520212444212025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3803067 (or 3803059 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

The spelling of 520212444212025 in words is "five hundred twenty trillion, two hundred twelve billion, four hundred forty-four million, two hundred twelve thousand, twenty-five".