1016085465 has 40 divisors (see below), whose sum is σ = 1838217480. Its totient is φ = 536917248.

The previous prime is 1016085463. The next prime is 1016085487. The reversal of 1016085465 is 5645806101.

1016085465 is a `hidden beast` number, since 1 + 0 + 1 + 608 + 5 + 46 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 182493081 + 833592384 = 13509^2 + 28872^2 .

It is not a de Polignac number, because 1016085465 - 2¹ = 1016085463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1016085463) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32637 + ... + 55653.

It is an arithmetic number, because the mean of its divisors is an integer number (45955437).

Almost surely, 2^1016085465 is an apocalyptic number.

1016085465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1016085465 is a deficient number, since it is larger than the sum of its proper divisors (822132015).

1016085465 is a wasteful number, since it uses less digits than its factorization.

1016085465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23143 (or 23134 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1016085465 is about 31876.0955105860. The cubic root of 1016085465 is about 1005.3333267250. Note that the first 4 decimals are identical.

The spelling of 1016085465 in words is "one billion, sixteen million, eighty-five thousand, four hundred sixty-five".