45135060205131 has 48 divisors (see below), whose sum is σ = 70241158181376. Its totient is φ = 27763135743168.

The previous prime is 45135060205121. The next prime is 45135060205163. The reversal of 45135060205131 is 13150206053154.

45135060205131 is a `hidden beast` number, since 4 + 5 + 1 + 35 + 0 + 602 + 0 + 5 + 13 + 1 = 666.

It is not a de Polignac number, because 45135060205131 - 2⁵ = 45135060205099 is a prime.

It is a super-2 number, since 2×45135060205131² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45135060205121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4483461760 + ... + 4483471826.

It is an arithmetic number, because the mean of its divisors is an integer number (1463357462112).

Almost surely, 2^{45135060205131} is an apocalyptic number.

45135060205131 is a deficient number, since it is larger than the sum of its proper divisors (25106097976245).

45135060205131 is a wasteful number, since it uses less digits than its factorization.

45135060205131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23232 (or 23229 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 45135060205131 its reverse (13150206053154), we get a palindrome (58285266258285).

The spelling of 45135060205131 in words is "forty-five trillion, one hundred thirty-five billion, sixty million, two hundred five thousand, one hundred thirty-one".