10513205780 has 144 divisors (see below), whose sum is σ = 29492164800. Its totient is φ = 3104317440.

The previous prime is 10513205767. The next prime is 10513205783. The reversal of 10513205780 is 8750231501.

It is a super-2 number, since 2×10513205780² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10513205783) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179156 + ... + 230484.

It is an arithmetic number, because the mean of its divisors is an integer number (204806700).

Almost surely, 2^10513205780 is an apocalyptic number.

10513205780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10513205780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14746082400).

10513205780 is an abundant number, since it is smaller than the sum of its proper divisors (18978959020).

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

10513205780 is a wasteful number, since it uses less digits than its factorization.

10513205780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51382 (or 51373 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 10513205780 in words is "ten billion, five hundred thirteen million, two hundred five thousand, seven hundred eighty".