1540314512 has 90 divisors (see below), whose sum is σ = 3485905794. Its totient is φ = 658718720.

The previous prime is 1540314509. The next prime is 1540314521. The reversal of 1540314512 is 2154130451.

It can be written as a sum of positive squares in 3 ways, for example, as 1014804736 + 525509776 = 31856^2 + 22924^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 558128 + ... + 560880.

Almost surely, 2^1540314512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1540314512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742952897).

1540314512 is an abundant number, since it is smaller than the sum of its proper divisors (1945591282).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1540314512 is a wasteful number, since it uses less digits than its factorization.

1540314512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 1540314512 is about 39246.8407900560. The cubic root of 1540314512 is about 1154.8789593490.

Adding to 1540314512 its reverse (2154130451), we get a palindrome (3694444963).

The spelling of 1540314512 in words is "one billion, five hundred forty million, three hundred fourteen thousand, five hundred twelve".