513983977 has 4 divisors (see below), whose sum is σ = 553521220. Its totient is φ = 474446736.

The previous prime is 513983971. The next prime is 513984017. The reversal of 513983977 is 779389315.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 779389315 = 5 ⋅155877863.

It can be written as a sum of positive squares in 2 ways, for example, as 324756441 + 189227536 = 18021^2 + 13756^2 .

It is a cyclic number.

It is not a de Polignac number, because 513983977 - 2³ = 513983969 is a prime.

It is a super-2 number, since 2×513983977² = 528359057225473058, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (513983971) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19768602 + ... + 19768627.

It is an arithmetic number, because the mean of its divisors is an integer number (138380305).

Almost surely, 2^513983977 is an apocalyptic number.

It is an amenable number.

513983977 is a deficient number, since it is larger than the sum of its proper divisors (39537243).

513983977 is a wasteful number, since it uses less digits than its factorization.

513983977 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39537242.

The product of its digits is 1428840, while the sum is 52.

The square root of 513983977 is about 22671.2147226389. The cubic root of 513983977 is about 801.0319895287.

The spelling of 513983977 in words is "five hundred thirteen million, nine hundred eighty-three thousand, nine hundred seventy-seven".