1054052352 has 182 divisors, whose sum is σ = 3169278102. Its totient is φ = 350355456.

The previous prime is 1054052327. The next prime is 1054052353. The reversal of 1054052352 is 2532504501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 862949376 + 191102976 = 29376^2 + 13824^2 .

It is a super-2 number, since 2×1054052352² = 2222052721513463808, 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 (1054052353) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2985808 + ... + 2986160.

Almost surely, 2^1054052352 is an apocalyptic number.

1054052352 is a gapful number since it is divisible by the number (12) 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 1054052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584639051).

1054052352 is an abundant number, since it is smaller than the sum of its proper divisors (2115225750).

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

1054052352 is an frugal number, since it uses more digits than its factorization.

1054052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 358 counting only the distinct ones).

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

The square root of 1054052352 is about 32466.1724260807. The cubic root of 1054052352 is about 1017.7022325200.

Adding to 1054052352 its reverse (2532504501), we get a palindrome (3586556853).

The spelling of 1054052352 in words is "one billion, fifty-four million, fifty-two thousand, three hundred fifty-two".