10252663316532 has 864 divisors, whose sum is σ = 34612364666880. Its totient is φ = 2530852853760.

The previous prime is 10252663316507. The next prime is 10252663316579. The reversal of 10252663316532 is 23561336625201.

10252663316532 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 2 + 6 + 633 + 1 + 6 + 5 + 3 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7174711194 + ... + 7174712622.

Almost surely, 2^{10252663316532} is an apocalyptic number.

10252663316532 is a gapful number since it is divisible by the number (12) 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 10252663316532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17306182333440).

10252663316532 is an abundant number, since it is smaller than the sum of its proper divisors (24359701350348).

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

10252663316532 is a wasteful number, since it uses less digits than its factorization.

10252663316532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 10252663316532 in words is "ten trillion, two hundred fifty-two billion, six hundred sixty-three million, three hundred sixteen thousand, five hundred thirty-two".