1606540512 has 48 divisors (see below), whose sum is σ = 4220681472. Its totient is φ = 535067520.

The previous prime is 1606540493. The next prime is 1606540531. The reversal of 1606540512 is 2150456061.

It is an interprime number because it is at equal distance from previous prime (1606540493) and next prime (1606540531).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×1606540512³ (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1606540512.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 121087 + ... + 133697.

It is an arithmetic number, because the mean of its divisors is an integer number (87930864).

Almost surely, 2^1606540512 is an apocalyptic number.

1606540512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1606540512 is an abundant number, since it is smaller than the sum of its proper divisors (2614140960).

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

1606540512 is a wasteful number, since it uses less digits than its factorization.

1606540512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13951 (or 13943 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 1606540512 is about 40081.6730189746. The cubic root of 1606540512 is about 1171.1986430230.

Adding to 1606540512 its reverse (2150456061), we get a palindrome (3756996573).

The spelling of 1606540512 in words is "one billion, six hundred six million, five hundred forty thousand, five hundred twelve".