1130540735 has 48 divisors (see below), whose sum is σ = 1497678336. Its totient is φ = 817229952.

The previous prime is 1130540729. The next prime is 1130540737. The reversal of 1130540735 is 5370450311.

1130540735 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1130540735 - 2¹² = 1130536639 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1130540698 and 1130540707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1130540737) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6769622 + ... + 6769788.

It is an arithmetic number, because the mean of its divisors is an integer number (31201632).

Almost surely, 2^1130540735 is an apocalyptic number.

1130540735 is a deficient number, since it is larger than the sum of its proper divisors (367137601).

1130540735 is a wasteful number, since it uses less digits than its factorization.

1130540735 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 1130540735 is about 33623.5146140317. The cubic root of 1130540735 is about 1041.7465521099.

The spelling of 1130540735 in words is "one billion, one hundred thirty million, five hundred forty thousand, seven hundred thirty-five".