252500072646528 has 1280 divisors, whose sum is σ = 947371920000000. Its totient is φ = 66498039853056.

The previous prime is 252500072646473. The next prime is 252500072646539. The reversal of 252500072646528 is 825646270005252.

252500072646528 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 0 + 0 + 0 + 72 + 6 + 46 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2499974973 + ... + 2500075971.

It is an arithmetic number, because the mean of its divisors is an integer number (740134312500).

Almost surely, 2^{252500072646528} is an apocalyptic number.

252500072646528 is a gapful number since it is divisible by the number (28) 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 252500072646528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473685960000000).

252500072646528 is an abundant number, since it is smaller than the sum of its proper divisors (694871847353472).

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

252500072646528 is a wasteful number, since it uses less digits than its factorization.

252500072646528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101102 (or 101067 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 252500072646528 in words is "two hundred fifty-two trillion, five hundred billion, seventy-two million, six hundred forty-six thousand, five hundred twenty-eight".