2167537729421 has 2 divisors, whose sum is σ = 2167537729422. Its totient is φ = 2167537729420.

The previous prime is 2167537729333. The next prime is 2167537729453. The reversal of 2167537729421 is 1249277357612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2101238689225 + 66299040196 = 1449565^2 + 257486^2 .

It is a cyclic number.

It is not a de Polignac number, because 2167537729421 - 2¹⁴ = 2167537713037 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2167537720421) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1083768864710 + 1083768864711.

It is an arithmetic number, because the mean of its divisors is an integer number (1083768864711).

Almost surely, 2^{2167537729421} is an apocalyptic number.

It is an amenable number.

2167537729421 is a deficient number, since it is larger than the sum of its proper divisors (1).

2167537729421 is an equidigital number, since it uses as much as digits as its factorization.

2167537729421 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 8890560, while the sum is 56.

The spelling of 2167537729421 in words is "two trillion, one hundred sixty-seven billion, five hundred thirty-seven million, seven hundred twenty-nine thousand, four hundred twenty-one".