735057123001 has 2 divisors, whose sum is σ = 735057123002. Its totient is φ = 735057123000.

The previous prime is 735057122959. The next prime is 735057123023. The reversal of 735057123001 is 100321750537.

735057123001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 731025000000 + 4032123001 = 855000^2 + 63499^2 .

It is an emirp because it is prime and its reverse (100321750537) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 735057123001 - 2⁹ = 735057122489 is a prime.

It is not a weakly prime, because it can be changed into another prime (735057123071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 367528561500 + 367528561501.

It is an arithmetic number, because the mean of its divisors is an integer number (367528561501).

Almost surely, 2^735057123001 is an apocalyptic number.

It is an amenable number.

735057123001 is a deficient number, since it is larger than the sum of its proper divisors (1).

735057123001 is an equidigital number, since it uses as much as digits as its factorization.

735057123001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22050, while the sum is 34.

Adding to 735057123001 its reverse (100321750537), we get a palindrome (835378873538).

The spelling of 735057123001 in words is "seven hundred thirty-five billion, fifty-seven million, one hundred twenty-three thousand, one".