1052154153200 has 120 divisors (see below), whose sum is σ = 2544473527200. Its totient is φ = 418092364800.

The previous prime is 1052154153173. The next prime is 1052154153233. The reversal of 1052154153200 is 23514512501.

1052154153200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1052154153200² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52605602 + ... + 52625598.

It is an arithmetic number, because the mean of its divisors is an integer number (21203946060).

Almost surely, 2^{1052154153200} is an apocalyptic number.

1052154153200 is a gapful number since it is divisible by the number (10) 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 1052154153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1272236763600).

1052154153200 is an abundant number, since it is smaller than the sum of its proper divisors (1492319374000).

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

1052154153200 is a wasteful number, since it uses less digits than its factorization.

1052154153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20875 (or 20864 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 1052154153200 its reverse (23514512501), we get a palindrome (1075668665701).

The spelling of 1052154153200 in words is "one trillion, fifty-two billion, one hundred fifty-four million, one hundred fifty-three thousand, two hundred".