515362061016 has 192 divisors, whose sum is σ = 1552372024320. Its totient is φ = 153126754560.

The previous prime is 515362061009. The next prime is 515362061021. The reversal of 515362061016 is 610160263515.

515362061016 is a `hidden beast` number, since 5 + 1 + 5 + 3 + 6 + 20 + 610 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92638251 + ... + 92643813.

It is an arithmetic number, because the mean of its divisors is an integer number (8085270960).

Almost surely, 2^515362061016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 515362061016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776186012160).

515362061016 is an abundant number, since it is smaller than the sum of its proper divisors (1037009963304).

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

515362061016 is a wasteful number, since it uses less digits than its factorization.

515362061016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7846 (or 7839 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 515362061016 in words is "five hundred fifteen billion, three hundred sixty-two million, sixty-one thousand, sixteen".