1053767117151 has 24 divisors (see below), whose sum is σ = 1740318962720. Its totient is φ = 601887174336.

The previous prime is 1053767117113. The next prime is 1053767117173. The reversal of 1053767117151 is 1517117673501.

1053767117151 is a `hidden beast` number, since 1 + 0 + 537 + 67 + 1 + 1 + 7 + 1 + 51 = 666.

It is not a de Polignac number, because 1053767117151 - 2¹⁴ = 1053767100767 is a prime.

It is a super-2 number, since 2×1053767117151² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1053767117097 and 1053767117106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053767117111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3542920 + ... + 3828813.

Almost surely, 2^{1053767117151} is an apocalyptic number.

1053767117151 is a deficient number, since it is larger than the sum of its proper divisors (686551845569).

1053767117151 is a wasteful number, since it uses less digits than its factorization.

1053767117151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7374015 (or 7374012 counting only the distinct ones).

The product of its (nonzero) digits is 154350, while the sum is 45.

The spelling of 1053767117151 in words is "one trillion, fifty-three billion, seven hundred sixty-seven million, one hundred seventeen thousand, one hundred fifty-one".