1052057664 has 336 divisors, whose sum is σ = 3753185280. Its totient is φ = 274959360.

The previous prime is 1052057653. The next prime is 1052057689. The reversal of 1052057664 is 4667502501.

It is a happy number.

1052057664 is a `hidden beast` number, since 1 + 0 + 5 + 20 + 576 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×1052057664³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2374627 + ... + 2375069.

Almost surely, 2^1052057664 is an apocalyptic number.

1052057664 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 1052057664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876592640).

1052057664 is an abundant number, since it is smaller than the sum of its proper divisors (2701127616).

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

1052057664 is a wasteful number, since it uses less digits than its factorization.

1052057664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 1052057664 is about 32435.4383969140. The cubic root of 1052057664 is about 1017.0598607891.

The spelling of 1052057664 in words is "one billion, fifty-two million, fifty-seven thousand, six hundred sixty-four".