1053000624 has 80 divisors (see below), whose sum is σ = 2942693600. Its totient is φ = 322541568.

The previous prime is 1053000617. The next prime is 1053000629. The reversal of 1053000624 is 4260003501.

It is a happy number.

1053000624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053000624² = 2217620628288778752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053000624.

It is not an unprimeable number, because it can be changed into a prime (1053000629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139212 + ... + 146580.

It is an arithmetic number, because the mean of its divisors is an integer number (36783670).

Almost surely, 2^1053000624 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 1053000624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1471346800).

1053000624 is an abundant number, since it is smaller than the sum of its proper divisors (1889692976).

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

1053000624 is a wasteful number, since it uses less digits than its factorization.

1053000624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7622 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1053000624 is about 32449.9710939779. The cubic root of 1053000624 is about 1017.3636338649.

The spelling of 1053000624 in words is "one billion, fifty-three million, six hundred twenty-four", and thus it is an aban number.