2131535760484 has 81 divisors (see below), whose sum is σ = 4073509454049. Its totient is φ = 975498900480.

The previous prime is 2131535760439. The next prime is 2131535760553. The reversal of 2131535760484 is 4840675351312.

The square root of 2131535760484 is 1459978.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 1893040270884 + 238495489600 = 1375878^2 + 488360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8844546604 + ... + 8844546844.

Almost surely, 2^{2131535760484} is an apocalyptic number.

2131535760484 is the 1459978-th square number.

It is an amenable number.

2131535760484 is a deficient number, since it is larger than the sum of its proper divisors (1941973693565).

2131535760484 is an equidigital number, since it uses as much as digits as its factorization.

2131535760484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

Multiplying 2131535760484 by its sum of digits (49), we get a square (104445252263716 = 10219846²).

The spelling of 2131535760484 in words is "two trillion, one hundred thirty-one billion, five hundred thirty-five million, seven hundred sixty thousand, four hundred eighty-four".