15253025252000 has 288 divisors, whose sum is σ = 39198710167344. Its totient is φ = 5832368640000.

The previous prime is 15253025251991. The next prime is 15253025252033. The reversal of 15253025252000 is 25252035251.

It can be written as a sum of positive squares in 24 ways, for example, as 1104323553424 + 14148701698576 = 1050868^2 + 3761476^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 339741554 + ... + 339786446.

Almost surely, 2^{15253025252000} is an apocalyptic number.

15253025252000 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 15253025252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19599355083672).

15253025252000 is an abundant number, since it is smaller than the sum of its proper divisors (23945684915344).

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

15253025252000 is a wasteful number, since it uses less digits than its factorization.

15253025252000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45077 (or 45030 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 32.

Adding to 15253025252000 its reverse (25252035251), we get a palindrome (15278277287251).

The spelling of 15253025252000 in words is "fifteen trillion, two hundred fifty-three billion, twenty-five million, two hundred fifty-two thousand".