45757035645521 has 2 divisors, whose sum is σ = 45757035645522. Its totient is φ = 45757035645520.

The previous prime is 45757035645491. The next prime is 45757035645631. The reversal of 45757035645521 is 12554653075754.

45757035645521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 26045344799296 + 19711690846225 = 5103464^2 + 4439785^2 .

It is a cyclic number.

It is not a de Polignac number, because 45757035645521 - 2³⁴ = 45739855776337 is a prime.

It is a super-2 number, since 2×45757035645521² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (45757035645721) by changing a digit.

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 as a sum of consecutive naturals, namely, 22878517822760 + 22878517822761.

It is an arithmetic number, because the mean of its divisors is an integer number (22878517822761).

Almost surely, 2^{45757035645521} is an apocalyptic number.

It is an amenable number.

45757035645521 is a deficient number, since it is larger than the sum of its proper divisors (1).

45757035645521 is an equidigital number, since it uses as much as digits as its factorization.

45757035645521 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200000, while the sum is 59.

The spelling of 45757035645521 in words is "forty-five trillion, seven hundred fifty-seven billion, thirty-five million, six hundred forty-five thousand, five hundred twenty-one".