10252284735 has 64 divisors (see below), whose sum is σ = 20650106880. Its totient is φ = 4219274880.

The previous prime is 10252284709. The next prime is 10252284751. The reversal of 10252284735 is 53748225201.

It is not a de Polignac number, because 10252284735 - 2⁶ = 10252284671 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10252284693 and 10252284702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75876 + ... + 162054.

It is an arithmetic number, because the mean of its divisors is an integer number (322657920).

Almost surely, 2^10252284735 is an apocalyptic number.

10252284735 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10252284735 is an abundant number, since it is smaller than the sum of its proper divisors (10397822145).

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

10252284735 is a wasteful number, since it uses less digits than its factorization.

10252284735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86308.

The product of its (nonzero) digits is 134400, while the sum is 39.

The spelling of 10252284735 in words is "ten billion, two hundred fifty-two million, two hundred eighty-four thousand, seven hundred thirty-five".