1540082517697 has 2 divisors, whose sum is σ = 1540082517698. Its totient is φ = 1540082517696.

The previous prime is 1540082517691. The next prime is 1540082517719. The reversal of 1540082517697 is 7967152800451.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1416673638081 + 123408879616 = 1190241^2 + 351296^2 .

It is a cyclic number.

It is not a de Polignac number, because 1540082517697 - 2²⁷ = 1539948299969 is a prime.

It is a super-2 number, since 2×1540082517697² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1540082517691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 770041258848 + 770041258849.

It is an arithmetic number, because the mean of its divisors is an integer number (770041258849).

Almost surely, 2^{1540082517697} is an apocalyptic number.

It is an amenable number.

1540082517697 is a deficient number, since it is larger than the sum of its proper divisors (1).

1540082517697 is an equidigital number, since it uses as much as digits as its factorization.

1540082517697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4233600, while the sum is 55.

The spelling of 1540082517697 in words is "one trillion, five hundred forty billion, eighty-two million, five hundred seventeen thousand, six hundred ninety-seven".