40545337573537 has 2 divisors, whose sum is σ = 40545337573538. Its totient is φ = 40545337573536.

The previous prime is 40545337573441. The next prime is 40545337573567. The reversal of 40545337573537 is 73537573354504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29898925576081 + 10646411997456 = 5467991^2 + 3262884^2 .

It is a cyclic number.

It is not a de Polignac number, because 40545337573537 - 2¹⁵ = 40545337540769 is a prime.

It is not a weakly prime, because it can be changed into another prime (40545337573567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20272668786768 + 20272668786769.

It is an arithmetic number, because the mean of its divisors is an integer number (20272668786769).

Almost surely, 2^{40545337573537} is an apocalyptic number.

It is an amenable number.

40545337573537 is a deficient number, since it is larger than the sum of its proper divisors (1).

40545337573537 is an equidigital number, since it uses as much as digits as its factorization.

40545337573537 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 277830000, while the sum is 61.

The spelling of 40545337573537 in words is "forty trillion, five hundred forty-five billion, three hundred thirty-seven million, five hundred seventy-three thousand, five hundred thirty-seven".