1052005120400 has 60 divisors (see below), whose sum is σ = 2721860953812. Its totient is φ = 388432657920.

The previous prime is 1052005120343. The next prime is 1052005120409. The reversal of 1052005120400 is 40215002501.

It can be written as a sum of positive squares in 6 ways, for example, as 9163849984 + 1042841270416 = 95728^2 + 1021196^2 .

It is a super-2 number, since 2×1052005120400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1052005120409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101149139 + ... + 101159538.

Almost surely, 2^{1052005120400} is an apocalyptic number.

1052005120400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052005120400 is an abundant number, since it is smaller than the sum of its proper divisors (1669855833412).

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

1052005120400 is a wasteful number, since it uses less digits than its factorization.

1052005120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202308708 (or 202308697 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 1052005120400 in words is "one trillion, fifty-two billion, five million, one hundred twenty thousand, four hundred".