1053052542 has 64 divisors (see below), whose sum is σ = 2520672000. Its totient is φ = 324795744.

The previous prime is 1053052529. The next prime is 1053052543. The reversal of 1053052542 is 2452503501.

It is a happy number.

1053052542 is a `hidden beast` number, since 105 + 30 + 525 + 4 + 2 = 666.

It is a super-2 number, since 2×1053052542² = 2217839312425323528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053052543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32184 + ... + 56052.

It is an arithmetic number, because the mean of its divisors is an integer number (39385500).

Almost surely, 2^1053052542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053052542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260336000).

1053052542 is an abundant number, since it is smaller than the sum of its proper divisors (1467619458).

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

1053052542 is a wasteful number, since it uses less digits than its factorization.

1053052542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23942 (or 23936 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1053052542 is about 32450.7710540135. The cubic root of 1053052542 is about 1017.3803538984.

The spelling of 1053052542 in words is "one billion, fifty-three million, fifty-two thousand, five hundred forty-two".