1053513382464 has 63 divisors (see below), whose sum is σ = 3019776503107. Its totient is φ = 351162916224.

The previous prime is 1053513382381. The next prime is 1053513382511. The reversal of 1053513382464 is 4642833153501.

The square root of 1053513382464 is 1026408.

It is a perfect power (a square), and thus also a powerful number.

1053513382464 is a `hidden beast` number, since 1 + 0 + 53 + 5 + 133 + 8 + 2 + 464 = 666.

It is a super-2 number, since 2×1053513382464² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24612409 + ... + 24655175.

Almost surely, 2^{1053513382464} is an apocalyptic number.

1053513382464 is the 1026408-th square number.

It is an amenable number.

1053513382464 is an abundant number, since it is smaller than the sum of its proper divisors (1966263120643).

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

1053513382464 is an frugal number, since it uses more digits than its factorization.

1053513382464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85552 (or 42772 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 1053513382464 in words is "one trillion, fifty-three billion, five hundred thirteen million, three hundred eighty-two thousand, four hundred sixty-four".