610516405 has 16 divisors (see below), whose sum is σ = 739113984. Its totient is φ = 484099200.

The previous prime is 610516397. The next prime is 610516409. The reversal of 610516405 is 504615016.

It is not a de Polignac number, because 610516405 - 2³ = 610516397 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610516409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 651097 + ... + 652033.

It is an arithmetic number, because the mean of its divisors is an integer number (46194624).

Almost surely, 2^610516405 is an apocalyptic number.

It is an amenable number.

610516405 is a deficient number, since it is larger than the sum of its proper divisors (128597579).

610516405 is a wasteful number, since it uses less digits than its factorization.

610516405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 610516405 is about 24708.6301724721. The cubic root of 610516405 is about 848.3318633486.

The spelling of 610516405 in words is "six hundred ten million, five hundred sixteen thousand, four hundred five".