13252861640704 has 405 divisors, whose sum is σ = 32890208474613. Its totient is φ = 5323325177856.

The previous prime is 13252861640671. The next prime is 13252861640741. The reversal of 13252861640704 is 40704616825231.

The square root of 13252861640704 is 3640448.

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

It can be written as a sum of positive squares in only one way, i.e., 10317971865600 + 2934889775104 = 3212160^2 + 1713152^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 55451303817 + ... + 55451304055.

Almost surely, 2^{13252861640704} is an apocalyptic number.

13252861640704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

13252861640704 is the 3640448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13252861640704

13252861640704 is an abundant number, since it is smaller than the sum of its proper divisors (19637346833909).

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

13252861640704 is an frugal number, since it uses more digits than its factorization.

13252861640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 49.

Multiplying 13252861640704 by its sum of digits (49), we get a square (649390220394496 = 25483136²).

13252861640704 divided by its sum of digits (49) gives a square (270466564096 = 520064²).

The spelling of 13252861640704 in words is "thirteen trillion, two hundred fifty-two billion, eight hundred sixty-one million, six hundred forty thousand, seven hundred four".