10513251840 has 640 divisors, whose sum is σ = 42347289600. Its totient is φ = 2210955264.

The previous prime is 10513251839. The next prime is 10513251887. The reversal of 10513251840 is 4815231501.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10513251840² (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 = 10513251798 and 10513251807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34244967 + ... + 34245273.

It is an arithmetic number, because the mean of its divisors is an integer number (66167640).

Almost surely, 2^10513251840 is an apocalyptic number.

10513251840 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 10513251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21173644800).

10513251840 is an abundant number, since it is smaller than the sum of its proper divisors (31834037760).

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

10513251840 is an equidigital number, since it uses as much as digits as its factorization.

10513251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 10513251840 in words is "ten billion, five hundred thirteen million, two hundred fifty-one thousand, eight hundred forty".