2177117651361 has 16 divisors (see below), whose sum is σ = 3022372055808. Its totient is φ = 1392798172800.

The previous prime is 2177117651353. The next prime is 2177117651389. The reversal of 2177117651361 is 1631567117712.

It is a happy number.

It is not a de Polignac number, because 2177117651361 - 2³ = 2177117651353 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2177117651361.

It is not an unprimeable number, because it can be changed into a prime (2177117631361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145075641 + ... + 145090646.

It is an arithmetic number, because the mean of its divisors is an integer number (188898253488).

Almost surely, 2^{2177117651361} is an apocalyptic number.

It is an amenable number.

2177117651361 is a deficient number, since it is larger than the sum of its proper divisors (845254404447).

2177117651361 is a wasteful number, since it uses less digits than its factorization.

2177117651361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290166392.

The product of its digits is 370440, while the sum is 48.

The spelling of 2177117651361 in words is "two trillion, one hundred seventy-seven billion, one hundred seventeen million, six hundred fifty-one thousand, three hundred sixty-one".