1053514640 has 80 divisors (see below), whose sum is σ = 2484001728. Its totient is φ = 415507968.

The previous prime is 1053514619. The next prime is 1053514661. The reversal of 1053514640 is 464153501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1053514619) and next prime (1053514661).

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

It is a super-2 number, since 2×1053514640² = 2219786193388659200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2255687 + ... + 2256153.

Almost surely, 2^1053514640 is an apocalyptic number.

1053514640 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 1053514640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242000864).

1053514640 is an abundant number, since it is smaller than the sum of its proper divisors (1430487088).

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

1053514640 is a wasteful number, since it uses less digits than its factorization.

1053514640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 1053514640 is about 32457.8902579943. The cubic root of 1053514640 is about 1017.5291469414.

The spelling of 1053514640 in words is "one billion, fifty-three million, five hundred fourteen thousand, six hundred forty".