1290553299321 has 128 divisors (see below), whose sum is σ = 2199637278720. Its totient is φ = 661011840000.

The previous prime is 1290553299281. The next prime is 1290553299323. The reversal of 1290553299321 is 1239923550921.

It is not a de Polignac number, because 1290553299321 - 2⁹ = 1290553298809 is a prime.

It is a super-2 number, since 2×1290553299321² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1290553299323) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 207447991 + ... + 207454211.

It is an arithmetic number, because the mean of its divisors is an integer number (17184666240).

Almost surely, 2^{1290553299321} is an apocalyptic number.

1290553299321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1290553299321 is a deficient number, since it is larger than the sum of its proper divisors (909083979399).

1290553299321 is a wasteful number, since it uses less digits than its factorization.

1290553299321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7119.

The product of its (nonzero) digits is 1312200, while the sum is 51.

The spelling of 1290553299321 in words is "one trillion, two hundred ninety billion, five hundred fifty-three million, two hundred ninety-nine thousand, three hundred twenty-one".