1002415315312 has 80 divisors (see below), whose sum is σ = 2010710993760. Its totient is φ = 483789312000.

The previous prime is 1002415315301. The next prime is 1002415315361. The reversal of 1002415315312 is 2135135142001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106601203 + ... + 106610605.

It is an arithmetic number, because the mean of its divisors is an integer number (25133887422).

Almost surely, 2^{1002415315312} is an apocalyptic number.

It is an amenable number.

1002415315312 is an abundant number, since it is smaller than the sum of its proper divisors (1008295678448).

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

1002415315312 is a wasteful number, since it uses less digits than its factorization.

1002415315312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11162 (or 11156 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 1002415315312 in words is "one trillion, two billion, four hundred fifteen million, three hundred fifteen thousand, three hundred twelve".