1053307663002 has 128 divisors (see below), whose sum is σ = 2697383116800. Its totient is φ = 298436721408.

The previous prime is 1053307662989. The next prime is 1053307663061. The reversal of 1053307663002 is 2003667033501.

1053307663002 is a `hidden beast` number, since 10 + 5 + 3 + 3 + 0 + 7 + 6 + 630 + 0 + 2 = 666.

It is a super-2 number, since 2×1053307663002² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148286983 + ... + 148294085.

It is an arithmetic number, because the mean of its divisors is an integer number (21073305600).

Almost surely, 2^{1053307663002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053307663002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348691558400).

1053307663002 is an abundant number, since it is smaller than the sum of its proper divisors (1644075453798).

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

1053307663002 is a wasteful number, since it uses less digits than its factorization.

1053307663002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10337 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The spelling of 1053307663002 in words is "one trillion, fifty-three billion, three hundred seven million, six hundred sixty-three thousand, two".