1006131504 has 160 divisors (see below), whose sum is σ = 3164083200. Its totient is φ = 274864128.

The previous prime is 1006131461. The next prime is 1006131509. The reversal of 1006131504 is 4051316001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1006131509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 377344 + ... + 380000.

It is an arithmetic number, because the mean of its divisors is an integer number (19775520).

Almost surely, 2^1006131504 is an apocalyptic number.

1006131504 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 1006131504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582041600).

1006131504 is an abundant number, since it is smaller than the sum of its proper divisors (2157951696).

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

1006131504 is a wasteful number, since it uses less digits than its factorization.

1006131504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2712 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1006131504 is about 31719.5760375198. The cubic root of 1006131504 is about 1002.0396715780.

Adding to 1006131504 its reverse (4051316001), we get a palindrome (5057447505).

The spelling of 1006131504 in words is "one billion, six million, one hundred thirty-one thousand, five hundred four".