511834973 has 16 divisors (see below), whose sum is σ = 558536496. Its totient is φ = 466214400.

The previous prime is 511834951. The next prime is 511834979. The reversal of 511834973 is 379438115.

It can be written as a sum of positive squares in 8 ways, for example, as 487204 + 511347769 = 698^2 + 22613^2 .

It is a cyclic number.

It is not a de Polignac number, because 511834973 - 2¹⁴ = 511818589 is a prime.

It is a Duffinian number.

511834973 is a modest number, since divided by 34973 gives 5118 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 511834973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511834979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 599615 + ... + 600467.

It is an arithmetic number, because the mean of its divisors is an integer number (34908531).

Almost surely, 2^511834973 is an apocalyptic number.

It is an amenable number.

511834973 is a deficient number, since it is larger than the sum of its proper divisors (46701523).

511834973 is a wasteful number, since it uses less digits than its factorization.

With its successor (511834974) it forms an eRAP, since the sums of their prime factors are consecutive (1424 and 1425).

511834973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424.

The product of its digits is 90720, while the sum is 41.

The square root of 511834973 is about 22623.7700881175. The cubic root of 511834973 is about 799.9140392013.

The spelling of 511834973 in words is "five hundred eleven million, eight hundred thirty-four thousand, nine hundred seventy-three".