2501253129648 has 320 divisors, whose sum is σ = 8056554347520. Its totient is φ = 651112280064.

The previous prime is 2501253129643. The next prime is 2501253129653. The reversal of 2501253129648 is 8469213521052.

2501253129648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2501253129643) and next prime (2501253129653).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 2501253129597 and 2501253129606.

It is not an unprimeable number, because it can be changed into a prime (2501253129643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105025390 + ... + 105049202.

It is an arithmetic number, because the mean of its divisors is an integer number (25176732336).

Almost surely, 2^{2501253129648} is an apocalyptic number.

2501253129648 is a gapful number since it is divisible by the number (28) 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 2501253129648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028277173760).

2501253129648 is an abundant number, since it is smaller than the sum of its proper divisors (5555301217872).

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

2501253129648 is a wasteful number, since it uses less digits than its factorization.

2501253129648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24156 (or 24150 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 2501253129648 in words is "two trillion, five hundred one billion, two hundred fifty-three million, one hundred twenty-nine thousand, six hundred forty-eight".