1007856153 has 12 divisors (see below), whose sum is σ = 1468676820. Its totient is φ = 665957376.

The previous prime is 1007856151. The next prime is 1007856163. The reversal of 1007856153 is 3516587001.

It can be written as a sum of positive squares in 2 ways, for example, as 353928969 + 653927184 = 18813^2 + 25572^2 .

It is not a de Polignac number, because 1007856153 - 2¹ = 1007856151 is a prime.

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 not an unprimeable number, because it can be changed into a prime (1007856151) 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 11 ways as a sum of consecutive naturals, for example, 494488 + ... + 496521.

It is an arithmetic number, because the mean of its divisors is an integer number (122389735).

Almost surely, 2^1007856153 is an apocalyptic number.

It is an amenable number.

1007856153 is a deficient number, since it is larger than the sum of its proper divisors (460820667).

1007856153 is a wasteful number, since it uses less digits than its factorization.

1007856153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991128 (or 991125 counting only the distinct ones).

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

The square root of 1007856153 is about 31746.7502746344. The cubic root of 1007856153 is about 1002.6118897591.

The spelling of 1007856153 in words is "one billion, seven million, eight hundred fifty-six thousand, one hundred fifty-three".