1007641375 has 24 divisors (see below), whose sum is σ = 1361739600. Its totient is φ = 744088800.

The previous prime is 1007641373. The next prime is 1007641409. The reversal of 1007641375 is 5731467001.

It is not a de Polignac number, because 1007641375 - 2¹ = 1007641373 is a prime.

It is a super-2 number, since 2×1007641375² = 2030682281223781250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1007641375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007641373) 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 23 ways as a sum of consecutive naturals, for example, 2725 + ... + 44974.

It is an arithmetic number, because the mean of its divisors is an integer number (56739150).

Almost surely, 2^1007641375 is an apocalyptic number.

1007641375 is a deficient number, since it is larger than the sum of its proper divisors (354098225).

1007641375 is an equidigital number, since it uses as much as digits as its factorization.

1007641375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47740 (or 47717 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 1007641375 is about 31743.3674174622. The cubic root of 1007641375 is about 1002.5406645570.

It can be divided in two parts, 1007641 and 375, that added together give a square (1008016 = 1004²).

The spelling of 1007641375 in words is "one billion, seven million, six hundred forty-one thousand, three hundred seventy-five".