1052413824 has 128 divisors (see below), whose sum is σ = 3485364480. Its totient is φ = 273346560.

The previous prime is 1052413807. The next prime is 1052413847. The reversal of 1052413824 is 4283142501.

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

It is a super-2 number, since 2×1052413824² = 2215149713892605952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1052413791 and 1052413800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11772 + ... + 47364.

It is an arithmetic number, because the mean of its divisors is an integer number (27229410).

Almost surely, 2^1052413824 is an apocalyptic number.

1052413824 is a gapful number since it is divisible by the number (14) 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 1052413824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1742682240).

1052413824 is an abundant number, since it is smaller than the sum of its proper divisors (2432950656).

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

1052413824 is a wasteful number, since it uses less digits than its factorization.

1052413824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35628 (or 35616 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 1052413824 is about 32440.9282234649. The cubic root of 1052413824 is about 1017.1746184947.

The spelling of 1052413824 in words is "one billion, fifty-two million, four hundred thirteen thousand, eight hundred twenty-four".