2056132665261 has 48 divisors (see below), whose sum is σ = 3089734876800. Its totient is φ = 1316720361600.

The previous prime is 2056132665233. The next prime is 2056132665289. The reversal of 2056132665261 is 1625662316502.

2056132665261 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 1 + 326 + 65 + 261 = 666.

It is an interprime number because it is at equal distance from previous prime (2056132665233) and next prime (2056132665289).

It is not a de Polignac number, because 2056132665261 - 2¹⁴ = 2056132648877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056132665221) 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, 5647440 + ... + 6000486.

It is an arithmetic number, because the mean of its divisors is an integer number (64369476600).

Almost surely, 2^{2056132665261} is an apocalyptic number.

It is an amenable number.

2056132665261 is a deficient number, since it is larger than the sum of its proper divisors (1033602211539).

2056132665261 is a wasteful number, since it uses less digits than its factorization.

2056132665261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353346 (or 353343 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2056132665261 in words is "two trillion, fifty-six billion, one hundred thirty-two million, six hundred sixty-five thousand, two hundred sixty-one".