130511677696 has 81 divisors (see below), whose sum is σ = 265246915689. Its totient is φ = 64091123712.

The previous prime is 130511677693. The next prime is 130511677697. The reversal of 130511677696 is 696776115031.

The square root of 130511677696 is 361264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 35193760000 + 95317917696 = 187600^2 + 308736^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130511677693) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 387274840 + ... + 387275176.

Almost surely, 2^130511677696 is an apocalyptic number.

130511677696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

130511677696 is the 361264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130511677696

130511677696 is an abundant number, since it is smaller than the sum of its proper divisors (134735237993).

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

130511677696 is an frugal number, since it uses more digits than its factorization.

130511677696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 52.

The spelling of 130511677696 in words is "one hundred thirty billion, five hundred eleven million, six hundred seventy-seven thousand, six hundred ninety-six".