10513552434 has 64 divisors (see below), whose sum is σ = 26291561472. Its totient is φ = 2722881600.

The previous prime is 10513552433. The next prime is 10513552463. The reversal of 10513552434 is 43425531501.

It is a super-2 number, since 2×10513552434² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 10513552395 and 10513552404.

It is not an unprimeable number, because it can be changed into a prime (10513552433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127524 + ... + 193104.

It is an arithmetic number, because the mean of its divisors is an integer number (410805648).

Almost surely, 2^10513552434 is an apocalyptic number.

10513552434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10513552434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13145780736).

10513552434 is an abundant number, since it is smaller than the sum of its proper divisors (15778009038).

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

10513552434 is a wasteful number, since it uses less digits than its factorization.

10513552434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65951.

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 10513552434 in words is "ten billion, five hundred thirteen million, five hundred fifty-two thousand, four hundred thirty-four".