150514353313011 has 192 divisors, whose sum is σ = 239769083473920. Its totient is φ = 90714281011200.

The previous prime is 150514353313003. The next prime is 150514353313133. The reversal of 150514353313011 is 110313353415051.

150514353313011 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 14 + 3 + 5 + 331 + 301 + 1 = 666.

It is not a de Polignac number, because 150514353313011 - 2³ = 150514353313003 is a prime.

It is a super-3 number, since 3×150514353313011³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (150514353313001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35027773815 + ... + 35027778111.

It is an arithmetic number, because the mean of its divisors is an integer number (1248797309760).

Almost surely, 2^{150514353313011} is an apocalyptic number.

150514353313011 is a deficient number, since it is larger than the sum of its proper divisors (89254730160909).

150514353313011 is a wasteful number, since it uses less digits than its factorization.

150514353313011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5346 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The spelling of 150514353313011 in words is "one hundred fifty trillion, five hundred fourteen billion, three hundred fifty-three million, three hundred thirteen thousand, eleven".