10352142416505 has 64 divisors (see below), whose sum is σ = 16644970368000. Its totient is φ = 5494054106880.

The previous prime is 10352142416501. The next prime is 10352142416531. The reversal of 10352142416505 is 50561424125301.

It is not a de Polignac number, because 10352142416505 - 2² = 10352142416501 is a prime.

It is a super-2 number, since 2×10352142416505² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10352142416501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6683112471 + ... + 6683114019.

It is an arithmetic number, because the mean of its divisors is an integer number (260077662000).

Almost surely, 2^{10352142416505} is an apocalyptic number.

10352142416505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10352142416505 is a deficient number, since it is larger than the sum of its proper divisors (6292827951495).

10352142416505 is a wasteful number, since it uses less digits than its factorization.

10352142416505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 10352142416505 in words is "ten trillion, three hundred fifty-two billion, one hundred forty-two million, four hundred sixteen thousand, five hundred five".