536516141 has 32 divisors (see below), whose sum is σ = 669772800. Its totient is φ = 428064000.

The previous prime is 536516131. The next prime is 536516159. The reversal of 536516141 is 141615635.

It is not a de Polignac number, because 536516141 - 2¹⁴ = 536499757 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 536516098 and 536516107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (536516131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 588476 + ... + 589386.

It is an arithmetic number, because the mean of its divisors is an integer number (20930400).

Almost surely, 2^536516141 is an apocalyptic number.

It is an amenable number.

536516141 is a deficient number, since it is larger than the sum of its proper divisors (133256659).

536516141 is a wasteful number, since it uses less digits than its factorization.

536516141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1036 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The square root of 536516141 is about 23162.8180712106. The cubic root of 536516141 is about 812.5702741900.

The spelling of 536516141 in words is "five hundred thirty-six million, five hundred sixteen thousand, one hundred forty-one".