1024153252000 has 96 divisors (see below), whose sum is σ = 2523476474064. Its totient is φ = 408500224000.

The previous prime is 1024153251923. The next prime is 1024153252007. The reversal of 1024153252000 is 2523514201.

It can be written as a sum of positive squares in 8 ways, for example, as 46688837776 + 977464414224 = 216076^2 + 988668^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1024153252007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1049340 + ... + 1774660.

Almost surely, 2^{1024153252000} is an apocalyptic number.

1024153252000 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 1024153252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261738237032).

1024153252000 is an abundant number, since it is smaller than the sum of its proper divisors (1499323222064).

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

1024153252000 is an equidigital number, since it uses as much as digits as its factorization.

1024153252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725699 (or 725681 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 1024153252000 its reverse (2523514201), we get a palindrome (1026676766201).

The spelling of 1024153252000 in words is "one trillion, twenty-four billion, one hundred fifty-three million, two hundred fifty-two thousand".