10315252510321 has 16 divisors (see below), whose sum is σ = 11856666931200. Its totient is φ = 8875398862800.

The previous prime is 10315252510307. The next prime is 10315252510333. The reversal of 10315252510321 is 12301525251301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10315252510321 - 2²⁵ = 10315218955889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10315252510391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23534185 + ... + 23968486.

It is an arithmetic number, because the mean of its divisors is an integer number (741041683200).

Almost surely, 2^{10315252510321} is an apocalyptic number.

10315252510321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10315252510321 is a deficient number, since it is larger than the sum of its proper divisors (1541414420879).

10315252510321 is a wasteful number, since it uses less digits than its factorization.

10315252510321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47503740.

The product of its (nonzero) digits is 9000, while the sum is 31.

Adding to 10315252510321 its reverse (12301525251301), we get a palindrome (22616777761622).

The spelling of 10315252510321 in words is "ten trillion, three hundred fifteen billion, two hundred fifty-two million, five hundred ten thousand, three hundred twenty-one".