252576002016 has 144 divisors (see below), whose sum is σ = 791503208496. Its totient is φ = 75908302848.

The previous prime is 252576001949. The next prime is 252576002027. The reversal of 252576002016 is 610200675252.

252576002016 is a `hidden beast` number, since 2 + 5 + 25 + 7 + 600 + 20 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 623445 + ... + 945428.

It is an arithmetic number, because the mean of its divisors is an integer number (5496550059).

Almost surely, 2^252576002016 is an apocalyptic number.

252576002016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

252576002016 is an abundant number, since it is smaller than the sum of its proper divisors (538927206480).

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

252576002016 is a wasteful number, since it uses less digits than its factorization.

252576002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1568945 (or 1568934 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

Adding to 252576002016 its reverse (610200675252), we get a palindrome (862776677268).

The spelling of 252576002016 in words is "two hundred fifty-two billion, five hundred seventy-six million, two thousand, sixteen".