2972177883253 has 2 divisors, whose sum is σ = 2972177883254. Its totient is φ = 2972177883252.

The previous prime is 2972177883041. The next prime is 2972177883287. The reversal of 2972177883253 is 3523887712792.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1716933261124 + 1255244622129 = 1310318^2 + 1120377^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2972177883253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2972177883853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1486088941626 + 1486088941627.

It is an arithmetic number, because the mean of its divisors is an integer number (1486088941627).

Almost surely, 2^{2972177883253} is an apocalyptic number.

It is an amenable number.

2972177883253 is a deficient number, since it is larger than the sum of its proper divisors (1).

2972177883253 is an equidigital number, since it uses as much as digits as its factorization.

2972177883253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 71124480, while the sum is 64.

The spelling of 2972177883253 in words is "two trillion, nine hundred seventy-two billion, one hundred seventy-seven million, eight hundred eighty-three thousand, two hundred fifty-three".