1052013320400 has 180 divisors, whose sum is σ = 3920145365472. Its totient is φ = 240460174080.

The previous prime is 1052013320399. The next prime is 1052013320417. The reversal of 1052013320400 is 40233102501.

It is a super-2 number, since 2×1052013320400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8886892 + ... + 9004491.

Almost surely, 2^{1052013320400} is an apocalyptic number.

1052013320400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052013320400 is an abundant number, since it is smaller than the sum of its proper divisors (2868132045072).

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

1052013320400 is a wasteful number, since it uses less digits than its factorization.

1052013320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17891418 (or 17891400 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 1052013320400 its reverse (40233102501), we get a palindrome (1092246422901).

The spelling of 1052013320400 in words is "one trillion, fifty-two billion, thirteen million, three hundred twenty thousand, four hundred".