495088313517 has 72 divisors (see below), whose sum is σ = 840899811960. Its totient is φ = 279851120640.

The previous prime is 495088313513. The next prime is 495088313537. The reversal of 495088313517 is 715313880594.

495088313517 is a `hidden beast` number, since 4 + 9 + 508 + 83 + 1 + 3 + 51 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 46912960836 + 448175352681 = 216594^2 + 669459^2 .

It is not a de Polignac number, because 495088313517 - 2² = 495088313513 is a prime.

It is a super-2 number, since 2×495088313517² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495088313513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25953459 + ... + 25972527.

It is an arithmetic number, because the mean of its divisors is an integer number (11679164055).

Almost surely, 2^495088313517 is an apocalyptic number.

It is an amenable number.

495088313517 is a deficient number, since it is larger than the sum of its proper divisors (345811498443).

495088313517 is a wasteful number, since it uses less digits than its factorization.

495088313517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19723 (or 19713 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 495088313517 in words is "four hundred ninety-five billion, eighty-eight million, three hundred thirteen thousand, five hundred seventeen".