25507013300000 has 144 divisors (see below), whose sum is σ = 63414256305960. Its totient is φ = 10097617920000.

The previous prime is 25507013299997. The next prime is 25507013300023. The reversal of 25507013300000 is 331070552.

It can be written as a sum of positive squares in 12 ways, for example, as 19646488894096 + 5860524405904 = 4432436^2 + 2420852^2 .

It is a super-3 number, since 3×25507013300000³ (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8385206 + ... + 11014794.

Almost surely, 2^{25507013300000} is an apocalyptic number.

25507013300000 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 25507013300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31707128152980).

25507013300000 is an abundant number, since it is smaller than the sum of its proper divisors (37907243005960).

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

25507013300000 is an frugal number, since it uses more digits than its factorization.

25507013300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2629721 (or 2629693 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 26.

Adding to 25507013300000 its reverse (331070552), we get a palindrome (25507344370552).

The spelling of 25507013300000 in words is "twenty-five trillion, five hundred seven billion, thirteen million, three hundred thousand".