1052753680 has 80 divisors (see below), whose sum is σ = 2675078784. Its totient is φ = 382115840.

The previous prime is 1052753641. The next prime is 1052753701. The reversal of 1052753680 is 863572501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1052753680² = 2216580621507084800, which contains 22 as substring.

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, 864432 + ... + 865648.

Almost surely, 2^1052753680 is an apocalyptic number.

1052753680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337539392).

1052753680 is an abundant number, since it is smaller than the sum of its proper divisors (1622325104).

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

1052753680 is a wasteful number, since it uses less digits than its factorization.

1052753680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2218 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 1052753680 is about 32446.1658751847. The cubic root of 1052753680 is about 1017.2840987785.

The spelling of 1052753680 in words is "one billion, fifty-two million, seven hundred fifty-three thousand, six hundred eighty".