10513145640 has 32 divisors (see below), whose sum is σ = 31539437280. Its totient is φ = 2803505472.

The previous prime is 10513145633. The next prime is 10513145641. The reversal of 10513145640 is 4654131501.

It is a happy number.

10513145640 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 2×10513145640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10513145598 and 10513145607.

It is not an unprimeable number, because it can be changed into a prime (10513145641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 43804654 + ... + 43804893.

It is an arithmetic number, because the mean of its divisors is an integer number (985607415).

Almost surely, 2^10513145640 is an apocalyptic number.

10513145640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10513145640 is an abundant number, since it is smaller than the sum of its proper divisors (21026291640).

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

10513145640 is a wasteful number, since it uses less digits than its factorization.

10513145640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87609561 (or 87609557 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The spelling of 10513145640 in words is "ten billion, five hundred thirteen million, one hundred forty-five thousand, six hundred forty".