2176306503361 has 9 divisors (see below), whose sum is σ = 2181984664611. Its totient is φ = 2170643091552.

The previous prime is 2176306503313. The next prime is 2176306503367. The reversal of 2176306503361 is 1633056036712.

The square root of 2176306503361 is 1475231.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 244050820225 + 1932255683136 = 494015^2 + 1390056^2 .

It is not a de Polignac number, because 2176306503361 - 2²⁵ = 2176272948929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2176306503367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 638773320 + ... + 638776726.

Almost surely, 2^{2176306503361} is an apocalyptic number.

2176306503361 is the 1475231-st square number.

2176306503361 is the 737616-th centered octagonal number.

It is an amenable number.

2176306503361 is a deficient number, since it is larger than the sum of its proper divisors (5678161250).

2176306503361 is an frugal number, since it uses more digits than its factorization.

2176306503361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7680 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 43.

The spelling of 2176306503361 in words is "two trillion, one hundred seventy-six billion, three hundred six million, five hundred three thousand, three hundred sixty-one".