516301441 has 16 divisors (see below), whose sum is σ = 564488784. Its totient is φ = 470237184.

The previous prime is 516301433. The next prime is 516301451. The reversal of 516301441 is 144103615.

It can be written as a sum of positive squares in 8 ways, for example, as 57600 + 516243841 = 240^2 + 22721^2 .

It is a cyclic number.

It is not a de Polignac number, because 516301441 - 2³ = 516301433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (516301411) 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, 119271 + ... + 123523.

It is an arithmetic number, because the mean of its divisors is an integer number (35280549).

Almost surely, 2^516301441 is an apocalyptic number.

It is an amenable number.

516301441 is a deficient number, since it is larger than the sum of its proper divisors (48187343).

516301441 is a wasteful number, since it uses less digits than its factorization.

516301441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4500.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 516301441 is about 22722.2675144890. The cubic root of 516301441 is about 802.2340891039.

The spelling of 516301441 in words is "five hundred sixteen million, three hundred one thousand, four hundred forty-one".