1054324513305 has 96 divisors (see below), whose sum is σ = 2105258688000. Its totient is φ = 478133185536.

The previous prime is 1054324513259. The next prime is 1054324513309. The reversal of 1054324513305 is 5033154234501.

1054324513305 is a `hidden beast` number, since 10 + 5 + 4 + 324 + 5 + 13 + 305 = 666.

It is not a de Polignac number, because 1054324513305 - 2²⁴ = 1054307736089 is a prime.

It is a super-2 number, since 2×1054324513305² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054324513305.

It is not an unprimeable number, because it can be changed into a prime (1054324513309) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37956532 + ... + 37984298.

It is an arithmetic number, because the mean of its divisors is an integer number (21929778000).

Almost surely, 2^{1054324513305} is an apocalyptic number.

1054324513305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054324513305 is a deficient number, since it is larger than the sum of its proper divisors (1050934174695).

1054324513305 is a wasteful number, since it uses less digits than its factorization.

1054324513305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28743 (or 28740 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 1054324513305 its reverse (5033154234501), we get a palindrome (6087478747806).

The spelling of 1054324513305 in words is "one trillion, fifty-four billion, three hundred twenty-four million, five hundred thirteen thousand, three hundred five".