1052872416 has 36 divisors (see below), whose sum is σ = 2994106752. Its totient is φ = 350957376.

The previous prime is 1052872409. The next prime is 1052872459. The reversal of 1052872416 is 6142782501.

1052872416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1052872416² = 2217080648747354112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1827616 + ... + 1828191.

It is an arithmetic number, because the mean of its divisors is an integer number (83169632).

Almost surely, 2^1052872416 is an apocalyptic number.

1052872416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1052872416 is an abundant number, since it is smaller than the sum of its proper divisors (1941234336).

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

1052872416 is a wasteful number, since it uses less digits than its factorization.

1052872416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655823 (or 3655812 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1052872416 is about 32447.9955621299. The cubic root of 1052872416 is about 1017.3223425153.

It can be divided in two parts, 10528 and 72416, that added together give a square (82944 = 288²).

The spelling of 1052872416 in words is "one billion, fifty-two million, eight hundred seventy-two thousand, four hundred sixteen".