510054500761 has 27 divisors (see below), whose sum is σ = 557759317143. Its totient is φ = 466217356800.

The previous prime is 510054500729. The next prime is 510054500779. The reversal of 510054500761 is 167005450015.

The square root of 510054500761 is 714181.

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

It can be written as a sum of positive squares in 13 ways, for example, as 78326657161 + 431727843600 = 279869^2 + 657060^2 .

It is not a de Polignac number, because 510054500761 - 2⁵ = 510054500729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (510054500161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1271956161 + ... + 1271956561.

Almost surely, 2^510054500761 is an apocalyptic number.

510054500761 is the 714181-st square number.

510054500761 is the 357091-st centered octagonal number.

It is an amenable number.

510054500761 is a deficient number, since it is larger than the sum of its proper divisors (47704816382).

510054500761 is an frugal number, since it uses more digits than its factorization.

510054500761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 34.

Adding to 510054500761 its reverse (167005450015), we get a palindrome (677059950776).

The spelling of 510054500761 in words is "five hundred ten billion, fifty-four million, five hundred thousand, seven hundred sixty-one".