252025997652 has 288 divisors, whose sum is σ = 785279738880. Its totient is φ = 67101696000.

The previous prime is 252025997651. The next prime is 252025997653. The reversal of 252025997652 is 256799520252.

It is a happy number.

252025997652 is a `hidden beast` number, since 2 + 520 + 2 + 59 + 9 + 7 + 65 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (252025997651) and next prime (252025997653).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252025997651) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9721924 + ... + 9747812.

It is an arithmetic number, because the mean of its divisors is an integer number (2726665760).

Almost surely, 2^252025997652 is an apocalyptic number.

252025997652 is a gapful number since it is divisible by the number (22) 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 252025997652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392639869440).

252025997652 is an abundant number, since it is smaller than the sum of its proper divisors (533253741228).

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

252025997652 is a wasteful number, since it uses less digits than its factorization.

252025997652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26015 (or 26010 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 252025997652 in words is "two hundred fifty-two billion, twenty-five million, nine hundred ninety-seven thousand, six hundred fifty-two".