516156161535 has 144 divisors (see below), whose sum is σ = 1096281164160. Its totient is φ = 223382033280.

The previous prime is 516156161527. The next prime is 516156161539. The reversal of 516156161535 is 535161651615.

516156161535 is a `hidden beast` number, since 5 + 1 + 6 + 1 + 56 + 1 + 61 + 535 = 666.

It is not a de Polignac number, because 516156161535 - 2³ = 516156161527 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516156161539) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75868444 + ... + 75875246.

It is an arithmetic number, because the mean of its divisors is an integer number (7613063640).

Almost surely, 2^516156161535 is an apocalyptic number.

516156161535 is an abundant number, since it is smaller than the sum of its proper divisors (580125002625).

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

516156161535 is a wasteful number, since it uses less digits than its factorization.

516156161535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8658 (or 8648 counting only the distinct ones).

The product of its digits is 405000, while the sum is 45.

The spelling of 516156161535 in words is "five hundred sixteen billion, one hundred fifty-six million, one hundred sixty-one thousand, five hundred thirty-five".