2735721953 has 2 divisors, whose sum is σ = 2735721954. Its totient is φ = 2735721952.

The previous prime is 2735721917. The next prime is 2735721979. The reversal of 2735721953 is 3591275372.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2677855504 + 57866449 = 51748^2 + 7607^2 .

It is a cyclic number.

It is not a de Polignac number, because 2735721953 - 2¹⁰ = 2735720929 is a prime.

It is a super-2 number, since 2×2735721953² = 14968349208252268418, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2735721983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1367860976 + 1367860977.

It is an arithmetic number, because the mean of its divisors is an integer number (1367860977).

Almost surely, 2^2735721953 is an apocalyptic number.

It is an amenable number.

2735721953 is a deficient number, since it is larger than the sum of its proper divisors (1).

2735721953 is an equidigital number, since it uses as much as digits as its factorization.

2735721953 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 396900, while the sum is 44.

The square root of 2735721953 is about 52304.1294067686. The cubic root of 2735721953 is about 1398.5907507940.

The spelling of 2735721953 in words is "two billion, seven hundred thirty-five million, seven hundred twenty-one thousand, nine hundred fifty-three".