1007681325 has 36 divisors (see below), whose sum is σ = 1938045600. Its totient is φ = 460652640.

The previous prime is 1007681317. The next prime is 1007681329. The reversal of 1007681325 is 5231867001.

It is not a de Polignac number, because 1007681325 - 2³ = 1007681317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007681329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133425 + ... + 140774.

It is an arithmetic number, because the mean of its divisors is an integer number (53834600).

Almost surely, 2^1007681325 is an apocalyptic number.

1007681325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007681325 is a deficient number, since it is larger than the sum of its proper divisors (930364275).

1007681325 is a wasteful number, since it uses less digits than its factorization.

1007681325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274226 (or 274214 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1007681325 is about 31743.9966765371. The cubic root of 1007681325 is about 1002.5539136392.

The spelling of 1007681325 in words is "one billion, seven million, six hundred eighty-one thousand, three hundred twenty-five".