2131516263162 has 128 divisors (see below), whose sum is σ = 5025371258880. Its totient is φ = 594200816640.

The previous prime is 2131516263143. The next prime is 2131516263167. The reversal of 2131516263162 is 2613626151312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2131516263162.

It is not an unprimeable number, because it can be changed into a prime (2131516263167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 735765298 + ... + 735768194.

It is an arithmetic number, because the mean of its divisors is an integer number (39260712960).

Almost surely, 2^{2131516263162} is an apocalyptic number.

2131516263162 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131516263162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512685629440).

2131516263162 is an abundant number, since it is smaller than the sum of its proper divisors (2893854995718).

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

2131516263162 is a wasteful number, since it uses less digits than its factorization.

2131516263162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5548.

The product of its digits is 77760, while the sum is 39.

The spelling of 2131516263162 in words is "two trillion, one hundred thirty-one billion, five hundred sixteen million, two hundred sixty-three thousand, one hundred sixty-two".