1010382782465 has 96 divisors (see below), whose sum is σ = 1450844898048. Its totient is φ = 673311744000.

The previous prime is 1010382782341. The next prime is 1010382782467. The reversal of 1010382782465 is 5642872830101.

It is not a de Polignac number, because 1010382782465 - 2¹⁶ = 1010382716929 is a prime.

It is a super-2 number, since 2×1010382782465² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1010382782467) 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 95 ways as a sum of consecutive naturals, for example, 474134450 + ... + 474136580.

It is an arithmetic number, because the mean of its divisors is an integer number (15112967688).

Almost surely, 2^{1010382782465} is an apocalyptic number.

It is an amenable number.

1010382782465 is a deficient number, since it is larger than the sum of its proper divisors (440462115583).

1010382782465 is a wasteful number, since it uses less digits than its factorization.

1010382782465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 1010382782465 in words is "one trillion, ten billion, three hundred eighty-two million, seven hundred eighty-two thousand, four hundred sixty-five".