1053861504 has 128 divisors (see below), whose sum is σ = 2860488000. Its totient is φ = 343719936.

The previous prime is 1053861503. The next prime is 1053861509. The reversal of 1053861504 is 4051683501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1053861504² = 2221248139226284032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1053861503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6465327 + ... + 6465489.

Almost surely, 2^1053861504 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 1053861504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430244000).

1053861504 is an abundant number, since it is smaller than the sum of its proper divisors (1806626496).

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

1053861504 is a wasteful number, since it uses less digits than its factorization.

1053861504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 1053861504 is about 32463.2331107054. The cubic root of 1053861504 is about 1017.6408066781.

The spelling of 1053861504 in words is "one billion, fifty-three million, eight hundred sixty-one thousand, five hundred four".