3815541062281 has 81 divisors (see below), whose sum is σ = 4421450600469. Its totient is φ = 3290988916800.

The previous prime is 3815541062227. The next prime is 3815541062303. The reversal of 3815541062281 is 1822601455183.

The square root of 3815541062281 is 1953341.

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 15848543881 + 3799692518400 = 125891^2 + 1949280^2 .

It is not a de Polignac number, because 3815541062281 - 2⁷ = 3815541062153 is a prime.

It is a super-2 number, since 2×3815541062281² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3815521062281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 29126267586 + ... + 29126267716.

Almost surely, 2^{3815541062281} is an apocalyptic number.

3815541062281 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

3815541062281 is the 1953341-st square number.

3815541062281 is the 976671-st centered octagonal number.

It is an amenable number.

3815541062281 is a deficient number, since it is larger than the sum of its proper divisors (605909538188).

3815541062281 is an equidigital number, since it uses as much as digits as its factorization.

3815541062281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 46.

The spelling of 3815541062281 in words is "three trillion, eight hundred fifteen billion, five hundred forty-one million, sixty-two thousand, two hundred eighty-one".