1007252136 has 96 divisors (see below), whose sum is σ = 2983780800. Its totient is φ = 304427520.

The previous prime is 1007252131. The next prime is 1007252137. The reversal of 1007252136 is 6312527001.

It is a happy number.

1007252136 is a `hidden beast` number, since 100 + 7 + 2 + 521 + 36 = 666.

It is not an unprimeable number, because it can be changed into a prime (1007252131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346240 + ... + 349136.

It is an arithmetic number, because the mean of its divisors is an integer number (31081050).

Almost surely, 2^1007252136 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 1007252136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491890400).

1007252136 is an abundant number, since it is smaller than the sum of its proper divisors (1976528664).

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

1007252136 is a wasteful number, since it uses less digits than its factorization.

1007252136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3359 (or 3352 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1007252136 is about 31737.2357964584. The cubic root of 1007252136 is about 1002.4115583780.

Adding to 1007252136 its reverse (6312527001), we get a palindrome (7319779137).

The spelling of 1007252136 in words is "one billion, seven million, two hundred fifty-two thousand, one hundred thirty-six".