1506173130 has 640 divisors, whose sum is σ = 5620285440. Its totient is φ = 279936000.

The previous prime is 1506173113. The next prime is 1506173131. The reversal of 1506173130 is 313716051.

1506173130 is a `hidden beast` number, since 15 + 0 + 617 + 3 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1506173094 and 1506173103.

It is not an unprimeable number, because it can be changed into a prime (1506173131) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 36735910 + ... + 36735950.

It is an arithmetic number, because the mean of its divisors is an integer number (8781696).

Almost surely, 2^1506173130 is an apocalyptic number.

1506173130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1506173130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810142720).

1506173130 is an abundant number, since it is smaller than the sum of its proper divisors (4114112310).

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

1506173130 is a wasteful number, since it uses less digits than its factorization.

1506173130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1506173130 is about 38809.4464016172. The cubic root of 1506173130 is about 1146.2824199099.

Adding to 1506173130 its reverse (313716051), we get a palindrome (1819889181).

The spelling of 1506173130 in words is "one billion, five hundred six million, one hundred seventy-three thousand, one hundred thirty".