1507316538 has 96 divisors (see below), whose sum is σ = 3869087040. Its totient is φ = 387797760.

The previous prime is 1507316537. The next prime is 1507316561. The reversal of 1507316538 is 8356137051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1507316496 and 1507316505.

It is not an unprimeable number, because it can be changed into a prime (1507316537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151893 + ... + 161511.

It is an arithmetic number, because the mean of its divisors is an integer number (40302990).

Almost surely, 2^1507316538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1507316538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934543520).

1507316538 is an abundant number, since it is smaller than the sum of its proper divisors (2361770502).

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

1507316538 is a wasteful number, since it uses less digits than its factorization.

1507316538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9692 (or 9685 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 1507316538 is about 38824.1746596112. The cubic root of 1507316538 is about 1146.5724124610.

The spelling of 1507316538 in words is "one billion, five hundred seven million, three hundred sixteen thousand, five hundred thirty-eight".