130434892511 has 16 divisors (see below), whose sum is σ = 162634756608. Its totient is φ = 101628434400.

The previous prime is 130434892501. The next prime is 130434892519. The reversal of 130434892511 is 115298434031.

It is a cyclic number.

It is not a de Polignac number, because 130434892511 - 2⁶ = 130434892447 is a prime.

It is a super-2 number, since 2×130434892511² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130434892519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 859301 + ... + 999633.

It is an arithmetic number, because the mean of its divisors is an integer number (10164672288).

Almost surely, 2^130434892511 is an apocalyptic number.

130434892511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130434892511 is a deficient number, since it is larger than the sum of its proper divisors (32199864097).

130434892511 is a wasteful number, since it uses less digits than its factorization.

130434892511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152422.

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 130434892511 in words is "one hundred thirty billion, four hundred thirty-four million, eight hundred ninety-two thousand, five hundred eleven".