512096761 has 32 divisors (see below), whose sum is σ = 607939200. Its totient is φ = 426746880.

The previous prime is 512096749. The next prime is 512096777. The reversal of 512096761 is 167690215.

It is a 4-Lehmer number, since φ(512096761) divides (512096761-1)⁴.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-512096761 is a prime.

It is a super-2 number, since 2×512096761² = 524486185253382242, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R_512096760.

It is a self number, because there is not a number n which added to its sum of digits gives 512096761.

It is not an unprimeable number, because it can be changed into a prime (512096731) 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 31 ways as a sum of consecutive naturals, for example, 507025 + ... + 508033.

It is an arithmetic number, because the mean of its divisors is an integer number (18998100).

It is a Poulet number, since it divides 2^512096760-1.

Almost surely, 2^512096761 is an apocalyptic number.

It is an amenable number.

512096761 is a deficient number, since it is larger than the sum of its proper divisors (95842439).

512096761 is a wasteful number, since it uses less digits than its factorization.

512096761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 512096761 is about 22629.5550331861. Note that the first 3 decimals coincide. The cubic root of 512096761 is about 800.0503931798.

It can be divided in two parts, 51209 and 6761, that added together give a triangular number (57970 = T₃₄₀).

The spelling of 512096761 in words is "five hundred twelve million, ninety-six thousand, seven hundred sixty-one".