10248629262135 has 32 divisors (see below), whose sum is σ = 17894308458240. Its totient is φ = 4967423500800.

The previous prime is 10248629262107. The next prime is 10248629262167. The reversal of 10248629262135 is 53126292684201.

It is not a de Polignac number, because 10248629262135 - 2¹³ = 10248629253943 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9544201 + ... + 10563570.

It is an arithmetic number, because the mean of its divisors is an integer number (559197139320).

Almost surely, 2^{10248629262135} is an apocalyptic number.

10248629262135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10248629262135 is a deficient number, since it is larger than the sum of its proper divisors (7645679196105).

10248629262135 is a wasteful number, since it uses less digits than its factorization.

10248629262135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20110879.

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 10248629262135 in words is "ten trillion, two hundred forty-eight billion, six hundred twenty-nine million, two hundred sixty-two thousand, one hundred thirty-five".