130405100526 has 64 divisors (see below), whose sum is σ = 299240448000. Its totient is φ = 42051636000.

The previous prime is 130405100503. The next prime is 130405100591. The reversal of 130405100526 is 625001504031.

130405100526 is a `hidden beast` number, since 1 + 30 + 4 + 0 + 5 + 100 + 526 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 130405100526.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5514075 + ... + 5537673.

It is an arithmetic number, because the mean of its divisors is an integer number (4675632000).

Almost surely, 2^130405100526 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130405100526, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149620224000).

130405100526 is an abundant number, since it is smaller than the sum of its proper divisors (168835347474).

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

130405100526 is a wasteful number, since it uses less digits than its factorization.

130405100526 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26942 (or 26936 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 130405100526 its reverse (625001504031), we get a palindrome (755406604557).

The spelling of 130405100526 in words is "one hundred thirty billion, four hundred five million, one hundred thousand, five hundred twenty-six".