1771561000000 has 343 divisors, whose sum is σ = 4833669749329. Its totient is φ = 644204000000.

The previous prime is 1771560999997. The next prime is 1771561000043. The reversal of 1771561000000 is 1651771.

The square root of 1771561000000 is 1331000.

The cubic root of 1771561000000 is 12100.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 1552057505856 + 219503494144 = 1245816^2 + 468512^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 48 ways as a sum of consecutive naturals, for example, 161050999995 + ... + 161051000005.

Almost surely, 2^{1771561000000} is an apocalyptic number.

1771561000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1771561000000 is the 1331000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1771561000000

1771561000000 is an abundant number, since it is smaller than the sum of its proper divisors (3062108749329).

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

1771561000000 is an frugal number, since it uses more digits than its factorization.

1771561000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 28.

Adding to 1771561000000 its reverse (1651771), we get a palindrome (1771562651771).

The spelling of 1771561000000 in words is "one trillion, seven hundred seventy-one billion, five hundred sixty-one million", and thus it is an aban number.