1821282503401 has 9 divisors (see below), whose sum is σ = 1825590970749. Its totient is φ = 1816984189836.

The previous prime is 1821282503387. The next prime is 1821282503429. The reversal of 1821282503401 is 1043052821281.

It is a happy number.

The square root of 1821282503401 is 1349549.

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

It is not a de Polignac number, because 1821282503401 - 2³⁷ = 1683843549929 is a prime.

It is a super-2 number, since 2×1821282503401² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1821282533401) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 678821806 + ... + 678824488.

Almost surely, 2^{1821282503401} is an apocalyptic number.

1821282503401 is the 1349549-th square number.

1821282503401 is the 674775-th centered octagonal number.

It is an amenable number.

1821282503401 is a deficient number, since it is larger than the sum of its proper divisors (4308467348).

1821282503401 is an frugal number, since it uses more digits than its factorization.

1821282503401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 1821282503401 in words is "one trillion, eight hundred twenty-one billion, two hundred eighty-two million, five hundred three thousand, four hundred one".