1053635331564 has 72 divisors (see below), whose sum is σ = 2720717475840. Its totient is φ = 343651439712.

The previous prime is 1053635331509. The next prime is 1053635331583. The reversal of 1053635331564 is 4651335363501.

1053635331564 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 6 + 3 + 53 + 31 + 564 = 666.

It is a super-2 number, since 2×1053635331564² (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 23 ways as a sum of consecutive naturals, for example, 6722677 + ... + 6877619.

It is an arithmetic number, because the mean of its divisors is an integer number (37787742720).

Almost surely, 2^{1053635331564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053635331564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360358737920).

1053635331564 is an abundant number, since it is smaller than the sum of its proper divisors (1667082144276).

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

1053635331564 is a wasteful number, since it uses less digits than its factorization.

1053635331564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159019 (or 159014 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 45.

The spelling of 1053635331564 in words is "one trillion, fifty-three billion, six hundred thirty-five million, three hundred thirty-one thousand, five hundred sixty-four".