35506137364001 has 2 divisors, whose sum is σ = 35506137364002. Its totient is φ = 35506137364000.

The previous prime is 35506137363997. The next prime is 35506137364013. The reversal of 35506137364001 is 10046373160553.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 31050137230225 + 4456000133776 = 5572265^2 + 2110924^2 .

It is a cyclic number.

It is not a de Polignac number, because 35506137364001 - 2² = 35506137363997 is a prime.

It is a super-2 number, since 2×35506137364001² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (35506137364501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17753068682000 + 17753068682001.

It is an arithmetic number, because the mean of its divisors is an integer number (17753068682001).

Almost surely, 2^{35506137364001} is an apocalyptic number.

It is an amenable number.

35506137364001 is a deficient number, since it is larger than the sum of its proper divisors (1).

35506137364001 is an equidigital number, since it uses as much as digits as its factorization.

35506137364001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 680400, while the sum is 44.

The spelling of 35506137364001 in words is "thirty-five trillion, five hundred six billion, one hundred thirty-seven million, three hundred sixty-four thousand, one".