516102405 has 128 divisors (see below), whose sum is σ = 1124057088. Its totient is φ = 195858432.

The previous prime is 516102397. The next prime is 516102421. The reversal of 516102405 is 504201615.

It is not a de Polignac number, because 516102405 - 2³ = 516102397 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 533232 + ... + 534198.

It is an arithmetic number, because the mean of its divisors is an integer number (8781696).

Almost surely, 2^516102405 is an apocalyptic number.

It is an amenable number.

516102405 is an abundant number, since it is smaller than the sum of its proper divisors (607954683).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

516102405 is a wasteful number, since it uses less digits than its factorization.

516102405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 516102405 is about 22717.8873357537. The cubic root of 516102405 is about 802.1309878442.

The spelling of 516102405 in words is "five hundred sixteen million, one hundred two thousand, four hundred five".