131258577810 has 64 divisors (see below), whose sum is σ = 323730392832. Its totient is φ = 34035676416.

The previous prime is 131258577761. The next prime is 131258577811. The reversal of 131258577810 is 18775852131.

It is a super-2 number, since 2×131258577810² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131258577810.

It is not an unprimeable number, because it can be changed into a prime (131258577811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1844307 + ... + 1914153.

It is an arithmetic number, because the mean of its divisors is an integer number (5058287388).

Almost surely, 2^131258577810 is an apocalyptic number.

131258577810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131258577810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161865196416).

131258577810 is an abundant number, since it is smaller than the sum of its proper divisors (192471815022).

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

131258577810 is a wasteful number, since it uses less digits than its factorization.

131258577810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71587.

The product of its (nonzero) digits is 470400, while the sum is 48.

The spelling of 131258577810 in words is "one hundred thirty-one billion, two hundred fifty-eight million, five hundred seventy-seven thousand, eight hundred ten".