1506056140233 has 24 divisors (see below), whose sum is σ = 2210946723336. Its totient is φ = 987764544000.

The previous prime is 1506056140189. The next prime is 1506056140241. The reversal of 1506056140233 is 3320416506051.

1506056140233 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 0 + 5 + 614 + 0 + 2 + 33 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 327174848064 + 1178881292169 = 571992^2 + 1085763^2 .

It is not a de Polignac number, because 1506056140233 - 2¹⁰ = 1506056139209 is a prime.

It is a super-2 number, since 2×1506056140233² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1506056140283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5133808 + ... + 5419233.

It is an arithmetic number, because the mean of its divisors is an integer number (92122780139).

Almost surely, 2^{1506056140233} is an apocalyptic number.

It is an amenable number.

1506056140233 is a deficient number, since it is larger than the sum of its proper divisors (704890583103).

1506056140233 is a wasteful number, since it uses less digits than its factorization.

1506056140233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10553305 (or 10553302 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1506056140233 in words is "one trillion, five hundred six billion, fifty-six million, one hundred forty thousand, two hundred thirty-three".