1051379568729 has 64 divisors (see below), whose sum is σ = 1837854720000. Its totient is φ = 581307399360.

The previous prime is 1051379568683. The next prime is 1051379568809. The reversal of 1051379568729 is 9278659731501.

1051379568729 is a `hidden beast` number, since 1 + 0 + 513 + 7 + 95 + 6 + 8 + 7 + 29 = 666.

It is not a de Polignac number, because 1051379568729 - 2¹³ = 1051379560537 is a prime.

It is a super-2 number, since 2×1051379568729² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1051379568229) 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 63 ways as a sum of consecutive naturals, for example, 44920972 + ... + 44944370.

It is an arithmetic number, because the mean of its divisors is an integer number (28716480000).

Almost surely, 2^{1051379568729} is an apocalyptic number.

It is an amenable number.

1051379568729 is a deficient number, since it is larger than the sum of its proper divisors (786475151271).

1051379568729 is a wasteful number, since it uses less digits than its factorization.

1051379568729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31115 (or 31109 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 1051379568729 in words is "one trillion, fifty-one billion, three hundred seventy-nine million, five hundred sixty-eight thousand, seven hundred twenty-nine".