1506117564 has 120 divisors (see below), whose sum is σ = 4511515008. Its totient is φ = 429196320.

The previous prime is 1506117563. The next prime is 1506117577. The reversal of 1506117564 is 4657116051.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506117563) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1294447 + ... + 1295609.

Almost surely, 2^1506117564 is an apocalyptic number.

1506117564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506117564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2255757504).

1506117564 is an abundant number, since it is smaller than the sum of its proper divisors (3005397444).

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

1506117564 is a wasteful number, since it uses less digits than its factorization.

1506117564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1506117564 is about 38808.7305126050. The cubic root of 1506117564 is about 1146.2683234533.

The spelling of 1506117564 in words is "one billion, five hundred six million, one hundred seventeen thousand, five hundred sixty-four".