1540367361 has 40 divisors (see below), whose sum is σ = 2487462824. Its totient is φ = 944317440.

The previous prime is 1540367333. The next prime is 1540367407. The reversal of 1540367361 is 1637630451.

It can be written as a sum of positive squares in 4 ways, for example, as 53802225 + 1486565136 = 7335^2 + 38556^2 .

It is not a de Polignac number, because 1540367361 - 2⁵ = 1540367329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1540367321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 289041 + ... + 294321.

Almost surely, 2^1540367361 is an apocalyptic number.

It is an amenable number.

1540367361 is a deficient number, since it is larger than the sum of its proper divisors (947095463).

1540367361 is a wasteful number, since it uses less digits than its factorization.

1540367361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5583 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 1540367361 is about 39247.5140741423. The cubic root of 1540367361 is about 1154.8921673658.

The spelling of 1540367361 in words is "one billion, five hundred forty million, three hundred sixty-seven thousand, three hundred sixty-one".