1007066652165 has 64 divisors (see below), whose sum is σ = 2047865241600. Its totient is φ = 459976974912.

The previous prime is 1007066652131. The next prime is 1007066652169. The reversal of 1007066652165 is 5612566607001.

It is not a de Polignac number, because 1007066652165 - 2¹⁵ = 1007066619397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1007066652165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007066652169) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 640876 + ... + 1557194.

It is an arithmetic number, because the mean of its divisors is an integer number (31997894400).

Almost surely, 2^{1007066652165} is an apocalyptic number.

1007066652165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1007066652165 is an abundant number, since it is smaller than the sum of its proper divisors (1040798589435).

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

1007066652165 is a wasteful number, since it uses less digits than its factorization.

1007066652165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917503 (or 917497 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 1007066652165 in words is "one trillion, seven billion, sixty-six million, six hundred fifty-two thousand, one hundred sixty-five".