252761349708 has 288 divisors, whose sum is σ = 786764160000. Its totient is φ = 68203296000.

The previous prime is 252761349683. The next prime is 252761349751. The reversal of 252761349708 is 807943167252.

It is a happy number.

252761349708 is a `hidden beast` number, since 2 + 527 + 6 + 1 + 3 + 49 + 70 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84224208 + ... + 84227208.

It is an arithmetic number, because the mean of its divisors is an integer number (2731820000).

It is a 1-persistent number, because it is pandigital, but 2⋅252761349708 = 505522699416 is not.

Almost surely, 2^252761349708 is an apocalyptic number.

252761349708 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 252761349708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393382080000).

252761349708 is an abundant number, since it is smaller than the sum of its proper divisors (534002810292).

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

252761349708 is a wasteful number, since it uses less digits than its factorization.

252761349708 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3391 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 252761349708 in words is "two hundred fifty-two billion, seven hundred sixty-one million, three hundred forty-nine thousand, seven hundred eight".