13225751040 has 320 divisors, whose sum is σ = 44812310400. Its totient is φ = 3318349824.

The previous prime is 13225751027. The next prime is 13225751041. The reversal of 13225751040 is 4015752231.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×13225751040² (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 = 13225750989 and 13225751007.

It is not an unprimeable number, because it can be changed into a prime (13225751041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33999166 + ... + 33999554.

It is an arithmetic number, because the mean of its divisors is an integer number (140038470).

Almost surely, 2^13225751040 is an apocalyptic number.

13225751040 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 13225751040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22406155200).

13225751040 is an abundant number, since it is smaller than the sum of its proper divisors (31586559360).

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

13225751040 is a wasteful number, since it uses less digits than its factorization.

13225751040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 13225751040 in words is "thirteen billion, two hundred twenty-five million, seven hundred fifty-one thousand, forty".