1130077436553 has 36 divisors (see below), whose sum is σ = 1768240709820. Its totient is φ = 695163276288.

The previous prime is 1130077436539. The next prime is 1130077436557. The reversal of 1130077436553 is 3556347700311.

It can be written as a sum of positive squares in 6 ways, for example, as 43702738704 + 1086374697849 = 209052^2 + 1042293^2 .

It is not a de Polignac number, because 1130077436553 - 2⁶ = 1130077436489 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1130077436499 and 1130077436508.

It is not an unprimeable number, because it can be changed into a prime (1130077436557) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3825901 + ... + 4110677.

It is an arithmetic number, because the mean of its divisors is an integer number (49117797495).

Almost surely, 2^{1130077436553} is an apocalyptic number.

1130077436553 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1130077436553 is a deficient number, since it is larger than the sum of its proper divisors (638163273267).

1130077436553 is a wasteful number, since it uses less digits than its factorization.

1130077436553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287418 (or 287402 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 45.

The spelling of 1130077436553 in words is "one trillion, one hundred thirty billion, seventy-seven million, four hundred thirty-six thousand, five hundred fifty-three".