252277608336390 has 1152 divisors, whose sum is σ = 918164015677440. Its totient is φ = 48799311321600.

The previous prime is 252277608336389. The next prime is 252277608336431. The reversal of 252277608336390 is 93633806772252.

It is a happy number.

252277608336390 is a `hidden beast` number, since 2 + 5 + 227 + 76 + 0 + 8 + 336 + 3 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1924674555 + ... + 1924805625.

It is an arithmetic number, because the mean of its divisors is an integer number (797017374720).

Almost surely, 2^{252277608336390} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252277608336390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459082007838720).

252277608336390 is an abundant number, since it is smaller than the sum of its proper divisors (665886407341050).

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

252277608336390 is a wasteful number, since it uses less digits than its factorization.

252277608336390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131183 (or 131151 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 63.

The spelling of 252277608336390 in words is "two hundred fifty-two trillion, two hundred seventy-seven billion, six hundred eight million, three hundred thirty-six thousand, three hundred ninety".