1616312007 has 24 divisors (see below), whose sum is σ = 2536834560. Its totient is φ = 987895440.

The previous prime is 1616311981. The next prime is 1616312011. The reversal of 1616312007 is 7002136161.

1616312007 is a `hidden beast` number, since 1 + 6 + 1 + 631 + 20 + 0 + 7 = 666.

It is not a de Polignac number, because 1616312007 - 2¹⁵ = 1616279239 is a prime.

It is a super-2 number, since 2×1616312007² = 5224929007944736098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616312057) 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 23 ways as a sum of consecutive naturals, for example, 147153 + ... + 157754.

It is an arithmetic number, because the mean of its divisors is an integer number (105701440).

Almost surely, 2^1616312007 is an apocalyptic number.

1616312007 is a deficient number, since it is larger than the sum of its proper divisors (920522553).

1616312007 is a wasteful number, since it uses less digits than its factorization.

1616312007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304963 (or 304960 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 1616312007 is about 40203.3830292924. The cubic root of 1616312007 is about 1173.5683803407.

Adding to 1616312007 its reverse (7002136161), we get a palindrome (8618448168).

The spelling of 1616312007 in words is "one billion, six hundred sixteen million, three hundred twelve thousand, seven".