2153511101177 has 2 divisors, whose sum is σ = 2153511101178. Its totient is φ = 2153511101176.

The previous prime is 2153511101101. The next prime is 2153511101179. The reversal of 2153511101177 is 7711011153512.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1614007630096 + 539503471081 = 1270436^2 + 734509^2 .

It is a cyclic number.

It is not a de Polignac number, because 2153511101177 - 2¹⁸ = 2153510839033 is a prime.

It is a super-2 number, since 2×2153511101177² (a number of 25 digits) contains 22 as substring.

Together with 2153511101179, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2153511101179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1076755550588 + 1076755550589.

It is an arithmetic number, because the mean of its divisors is an integer number (1076755550589).

Almost surely, 2^{2153511101177} is an apocalyptic number.

It is an amenable number.

2153511101177 is a deficient number, since it is larger than the sum of its proper divisors (1).

2153511101177 is an equidigital number, since it uses as much as digits as its factorization.

2153511101177 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7350, while the sum is 35.

Adding to 2153511101177 its reverse (7711011153512), we get a palindrome (9864522254689).

The spelling of 2153511101177 in words is "two trillion, one hundred fifty-three billion, five hundred eleven million, one hundred one thousand, one hundred seventy-seven".