41607573312601 has 2 divisors, whose sum is σ = 41607573312602. Its totient is φ = 41607573312600.

The previous prime is 41607573312527. The next prime is 41607573312631. The reversal of 41607573312601 is 10621337570614.

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., 35677744417225 + 5929828895376 = 5973085^2 + 2435124^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-41607573312601 is a prime.

It is a super-3 number, since 3×41607573312601³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (41607573312631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20803786656300 + 20803786656301.

It is an arithmetic number, because the mean of its divisors is an integer number (20803786656301).

Almost surely, 2^{41607573312601} is an apocalyptic number.

It is an amenable number.

41607573312601 is a deficient number, since it is larger than the sum of its proper divisors (1).

41607573312601 is an equidigital number, since it uses as much as digits as its factorization.

41607573312601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 635040, while the sum is 46.

The spelling of 41607573312601 in words is "forty-one trillion, six hundred seven billion, five hundred seventy-three million, three hundred twelve thousand, six hundred one".