1007645313075 has 48 divisors (see below), whose sum is σ = 1678227408000. Its totient is φ = 533468563200.

The previous prime is 1007645313043. The next prime is 1007645313079. The reversal of 1007645313075 is 5703135467001.

1007645313075 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1007645313075 - 2⁵ = 1007645313043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007645313079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7599951 + ... + 7731399.

It is an arithmetic number, because the mean of its divisors is an integer number (34963071000).

Almost surely, 2^{1007645313075} is an apocalyptic number.

1007645313075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1007645313075 is a deficient number, since it is larger than the sum of its proper divisors (670582094925).

1007645313075 is a wasteful number, since it uses less digits than its factorization.

1007645313075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132212 (or 132207 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 1007645313075 in words is "one trillion, seven billion, six hundred forty-five million, three hundred thirteen thousand, seventy-five".