3613512053776 has 135 divisors (see below), whose sum is σ = 7327161743223. Its totient is φ = 1726343139840.

The previous prime is 3613512053747. The next prime is 3613512053779. The reversal of 3613512053776 is 6773502153163.

The square root of 3613512053776 is 1900924.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25427491600 + 3588084562176 = 159460^2 + 1894224^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3613512053779) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20887352826 + ... + 20887352998.

Almost surely, 2^{3613512053776} is an apocalyptic number.

3613512053776 is the 1900924-th square number.

It is an amenable number.

3613512053776 is an abundant number, since it is smaller than the sum of its proper divisors (3713649689447).

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

3613512053776 is an frugal number, since it uses more digits than its factorization.

3613512053776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 49.

Multiplying 3613512053776 by its sum of digits (49), we get a square (177062090635024 = 13306468²).

The spelling of 3613512053776 in words is "three trillion, six hundred thirteen billion, five hundred twelve million, fifty-three thousand, seven hundred seventy-six".