516379305 has 16 divisors (see below), whose sum is σ = 889761600. Its totient is φ = 254217408.

The previous prime is 516379291. The next prime is 516379309. The reversal of 516379305 is 503973615.

It is not a de Polignac number, because 516379305 - 2¹⁶ = 516313769 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (516379309) 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, 1323855 + ... + 1324244.

It is an arithmetic number, because the mean of its divisors is an integer number (55610100).

Almost surely, 2^516379305 is an apocalyptic number.

It is an amenable number.

516379305 is a deficient number, since it is larger than the sum of its proper divisors (373382295).

516379305 is a wasteful number, since it uses less digits than its factorization.

516379305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648120.

The product of its (nonzero) digits is 85050, while the sum is 39.

The square root of 516379305 is about 22723.9808352322. The cubic root of 516379305 is about 802.2744156846.

The spelling of 516379305 in words is "five hundred sixteen million, three hundred seventy-nine thousand, three hundred five".