495017780625 has 225 divisors, whose sum is σ = 958040081383. Its totient is φ = 254637864000.

The previous prime is 495017780611. The next prime is 495017780683. The reversal of 495017780625 is 526087710594.

The square root of 495017780625 is 703575.

It is a perfect power (a square), and thus also a powerful number.

495017780625 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 1 + 7 + 7 + 8 + 0 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 274677665409 + 220340115216 = 524097^2 + 469404^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a de Polignac number, because none of the positive numbers 2^k-495017780625 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 8390131846 + ... + 8390131904.

Almost surely, 2^495017780625 is an apocalyptic number.

495017780625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

495017780625 is the 703575-th square number.

495017780625 is the 351788-th centered octagonal number.

It is an amenable number.

495017780625 is a deficient number, since it is larger than the sum of its proper divisors (463022300758).

495017780625 is an frugal number, since it uses more digits than its factorization.

495017780625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 495017780625 in words is "four hundred ninety-five billion, seventeen million, seven hundred eighty thousand, six hundred twenty-five".