1305055213541 has 16 divisors (see below), whose sum is σ = 1353176064000. Its totient is φ = 1257795430320.

The previous prime is 1305055213471. The next prime is 1305055213577. The reversal of 1305055213541 is 1453125505031.

It is a cyclic number.

It is not a de Polignac number, because 1305055213541 - 2¹⁸ = 1305054951397 is a prime.

It is a super-2 number, since 2×1305055213541² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1305055213141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9374756 + ... + 9512946.

It is an arithmetic number, because the mean of its divisors is an integer number (84573504000).

Almost surely, 2^{1305055213541} is an apocalyptic number.

It is an amenable number.

1305055213541 is a deficient number, since it is larger than the sum of its proper divisors (48120850459).

1305055213541 is a wasteful number, since it uses less digits than its factorization.

1305055213541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141304.

The product of its (nonzero) digits is 45000, while the sum is 35.

The spelling of 1305055213541 in words is "one trillion, three hundred five billion, fifty-five million, two hundred thirteen thousand, five hundred forty-one".