2512435012500 has 576 divisors, whose sum is σ = 8508340431360. Its totient is φ = 565159680000.

The previous prime is 2512435012499. The next prime is 2512435012513. The reversal of 2512435012500 is 52105342152.

2512435012500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7925662342 + ... + 7925662658.

It is an arithmetic number, because the mean of its divisors is an integer number (14771424360).

Almost surely, 2^{2512435012500} is an apocalyptic number.

2512435012500 is a gapful number since it is divisible by the number (20) 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 2512435012500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254170215680).

2512435012500 is an abundant number, since it is smaller than the sum of its proper divisors (5995905418860).

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

2512435012500 is a wasteful number, since it uses less digits than its factorization.

2512435012500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 2512435012500 in words is "two trillion, five hundred twelve billion, four hundred thirty-five million, twelve thousand, five hundred".