2133393009561 has 48 divisors (see below), whose sum is σ = 3514606422912. Its totient is φ = 1234375084800.

The previous prime is 2133393009541. The next prime is 2133393009581. The reversal of 2133393009561 is 1659003933312.

2133393009561 is a `hidden beast` number, since 2 + 1 + 3 + 339 + 300 + 9 + 5 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (2133393009541) and next prime (2133393009581).

It is not a de Polignac number, because 2133393009561 - 2²¹ = 2133390912409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2133393009511) 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, 287151 + ... + 2085483.

It is an arithmetic number, because the mean of its divisors is an integer number (73220967144).

Almost surely, 2^{2133393009561} is an apocalyptic number.

It is an amenable number.

2133393009561 is a deficient number, since it is larger than the sum of its proper divisors (1381213413351).

2133393009561 is a wasteful number, since it uses less digits than its factorization.

2133393009561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798894 (or 1798891 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 2133393009561 in words is "two trillion, one hundred thirty-three billion, three hundred ninety-three million, nine thousand, five hundred sixty-one".