1610116510509 has 48 divisors (see below), whose sum is σ = 2510470609920. Its totient is φ = 988531424640.

The previous prime is 1610116510489. The next prime is 1610116510531. The reversal of 1610116510509 is 9050156110161.

It is a happy number.

1610116510509 is a `hidden beast` number, since 16 + 10 + 116 + 5 + 10 + 509 = 666.

It is not a de Polignac number, because 1610116510509 - 2⁵ = 1610116510477 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1610116530509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92150644 + ... + 92168114.

It is an arithmetic number, because the mean of its divisors is an integer number (52301471040).

Almost surely, 2^{1610116510509} is an apocalyptic number.

It is an amenable number.

1610116510509 is a deficient number, since it is larger than the sum of its proper divisors (900354099411).

1610116510509 is a wasteful number, since it uses less digits than its factorization.

1610116510509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19282 (or 19279 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 36.

The spelling of 1610116510509 in words is "one trillion, six hundred ten billion, one hundred sixteen million, five hundred ten thousand, five hundred nine".