522245060542225 has 24 divisors (see below), whose sum is σ = 669990827184120. Its totient is φ = 403343239488000.

The previous prime is 522245060542213. The next prime is 522245060542237.

It is a happy number.

522245060542225 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (522245060542213) and next prime (522245060542237).

It can be written as a sum of positive squares in 12 ways, for example, as 175204376317441 + 347040684224784 = 13236479^2 + 18629028^2 .

It is not a de Polignac number, because 522245060542225 - 2¹⁵ = 522245060509457 is a prime.

It is a super-2 number, since 2×522245060542225² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34758766 + ... + 47462215.

It is an arithmetic number, because the mean of its divisors is an integer number (27916284466005).

Almost surely, 2^{522245060542225} is an apocalyptic number.

It is an amenable number.

522245060542225 is a deficient number, since it is larger than the sum of its proper divisors (147745766641895).

522245060542225 is a wasteful number, since it uses less digits than its factorization.

522245060542225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82229781 (or 82229776 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 46.

The spelling of 522245060542225 in words is "five hundred twenty-two trillion, two hundred forty-five billion, sixty million, five hundred forty-two thousand, two hundred twenty-five".