2007142533 has 24 divisors (see below), whose sum is σ = 3164896800. Its totient is φ = 1215632160.

The previous prime is 2007142513. The next prime is 2007142537. The reversal of 2007142533 is 3352417002.

2007142533 is a `hidden beast` number, since 20 + 0 + 71 + 42 + 533 = 666.

It is not a de Polignac number, because 2007142533 - 2¹⁸ = 2006880389 is a prime.

It is a super-2 number, since 2×2007142533² = 8057242295555312178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2007142497 and 2007142506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2007142537) 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, 162235 + ... + 174167.

It is an arithmetic number, because the mean of its divisors is an integer number (131870700).

Almost surely, 2^2007142533 is an apocalyptic number.

It is an amenable number.

2007142533 is a deficient number, since it is larger than the sum of its proper divisors (1157754267).

2007142533 is a wasteful number, since it uses less digits than its factorization.

2007142533 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13649 (or 13646 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2007142533 is about 44801.1443269031. The cubic root of 2007142533 is about 1261.4191059345.

Adding to 2007142533 its reverse (3352417002), we get a palindrome (5359559535).

The spelling of 2007142533 in words is "two billion, seven million, one hundred forty-two thousand, five hundred thirty-three".