1310862415041 has 27 divisors (see below), whose sum is σ = 1900854276867. Its totient is φ = 870512417280.

The previous prime is 1310862414971. The next prime is 1310862415069. The reversal of 1310862415041 is 1405142680131.

The square root of 1310862415041 is 1144929.

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

1310862415041 is a `hidden beast` number, since 1 + 3 + 10 + 8 + 624 + 15 + 0 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1035967730625 + 274894684416 = 1017825^2 + 524304^2 .

It is not a de Polignac number, because 1310862415041 - 2¹⁵ = 1310862382273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1310862414987 and 1310862415005.

It is not an unprimeable number, because it can be changed into a prime (1310862415441) 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 26 ways as a sum of consecutive naturals, for example, 1136913921 + ... + 1136915073.

Almost surely, 2^{1310862415041} is an apocalyptic number.

1310862415041 is the 1144929-th square number.

1310862415041 is the 572465-th centered octagonal number.

It is an amenable number.

1310862415041 is a deficient number, since it is larger than the sum of its proper divisors (589991861826).

1310862415041 is an frugal number, since it uses more digits than its factorization.

1310862415041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2974 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 1310862415041 by its sum of digits (36), we get a square (47191046941476 = 6869574²).

The spelling of 1310862415041 in words is "one trillion, three hundred ten billion, eight hundred sixty-two million, four hundred fifteen thousand, forty-one".