10510508490 has 64 divisors (see below), whose sum is σ = 26934183936. Its totient is φ = 2618586432.

The previous prime is 10510508473. The next prime is 10510508509. The reversal of 10510508490 is 9480501501.

10510508490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10510508490² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147454 + ... + 206793.

It is an arithmetic number, because the mean of its divisors is an integer number (420846624).

Almost surely, 2^10510508490 is an apocalyptic number.

10510508490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10510508490 is an abundant number, since it is smaller than the sum of its proper divisors (16423675446).

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

10510508490 is a wasteful number, since it uses less digits than its factorization.

10510508490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354323.

The product of its (nonzero) digits is 7200, while the sum is 33.

The spelling of 10510508490 in words is "ten billion, five hundred ten million, five hundred eight thousand, four hundred ninety".