10613187712512 has 480 divisors, whose sum is σ = 39420452358144. Its totient is φ = 2667744460800.

The previous prime is 10613187712507. The next prime is 10613187712553. The reversal of 10613187712512 is 21521778131601.

10613187712512 is a `hidden beast` number, since 1 + 0 + 61 + 3 + 1 + 8 + 7 + 71 + 2 + 512 = 666.

It is a super-2 number, since 2×10613187712512² (a number of 27 digits) contains 22 as substring.

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, 10516848 + ... + 11481744.

Almost surely, 2^{10613187712512} is an apocalyptic number.

10613187712512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10613187712512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19710226179072).

10613187712512 is an abundant number, since it is smaller than the sum of its proper divisors (28807264645632).

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

10613187712512 is a wasteful number, since it uses less digits than its factorization.

10613187712512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964970 (or 964951 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 10613187712512 in words is "ten trillion, six hundred thirteen billion, one hundred eighty-seven million, seven hundred twelve thousand, five hundred twelve".