15205050252 has 216 divisors, whose sum is σ = 46626233472. Its totient is φ = 4161024000.

The previous prime is 15205050199. The next prime is 15205050253. The reversal of 15205050252 is 25205050251.

15205050252 is a `hidden beast` number, since 152 + 0 + 5 + 0 + 502 + 5 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (15205050253) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5521708 + ... + 5524460.

It is an arithmetic number, because the mean of its divisors is an integer number (215862192).

Almost surely, 2^15205050252 is an apocalyptic number.

15205050252 is a gapful number since it is divisible by the number (12) 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 15205050252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23313116736).

15205050252 is an abundant number, since it is smaller than the sum of its proper divisors (31421183220).

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

15205050252 is a wasteful number, since it uses less digits than its factorization.

15205050252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909 (or 2897 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

Subtracting 15205050252 from its reverse (25205050251), we obtain a palindrome (9999999999).

The spelling of 15205050252 in words is "fifteen billion, two hundred five million, fifty thousand, two hundred fifty-two".