130526525327616 has 432 divisors, whose sum is σ = 432819731111040. Its totient is φ = 37443720314880.

The previous prime is 130526525327581. The next prime is 130526525327629. The reversal of 130526525327616 is 616723525625031.

130526525327616 is a `hidden beast` number, since 1 + 3 + 0 + 5 + 2 + 6 + 525 + 32 + 76 + 16 = 666.

It is a super-2 number, since 2×130526525327616² (a number of 29 digits) contains 22 as substring.

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, 55388230 + ... + 57696698.

It is an arithmetic number, because the mean of its divisors is an integer number (1001897525720).

Almost surely, 2^{130526525327616} is an apocalyptic number.

130526525327616 is a gapful number since it is divisible by the number (16) 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 130526525327616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216409865555520).

130526525327616 is an abundant number, since it is smaller than the sum of its proper divisors (302293205783424).

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

130526525327616 is a wasteful number, since it uses less digits than its factorization.

130526525327616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308622 (or 2308605 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 130526525327616 in words is "one hundred thirty trillion, five hundred twenty-six billion, five hundred twenty-five million, three hundred twenty-seven thousand, six hundred sixteen".