2131513540 has 48 divisors (see below), whose sum is σ = 4852940400. Its totient is φ = 781724160.

The previous prime is 2131513511. The next prime is 2131513547. The reversal of 2131513540 is 453151312.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 677769156 + 1453744384 = 26034^2 + 38128^2 .

It is not an unprimeable number, because it can be changed into a prime (2131513547) 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, 11230 + ... + 66250.

It is an arithmetic number, because the mean of its divisors is an integer number (101102925).

Almost surely, 2^2131513540 is an apocalyptic number.

2131513540 is a gapful number since it is divisible by the number (20) 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 2131513540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426470200).

2131513540 is an abundant number, since it is smaller than the sum of its proper divisors (2721426860).

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

2131513540 is a wasteful number, since it uses less digits than its factorization.

2131513540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55192 (or 55190 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 2131513540 is about 46168.3174915439. The cubic root of 2131513540 is about 1286.9530355221.

Adding to 2131513540 its reverse (453151312), we get a palindrome (2584664852).

The spelling of 2131513540 in words is "two billion, one hundred thirty-one million, five hundred thirteen thousand, five hundred forty".