10251625053150 has 576 divisors, whose sum is σ = 30534168188160. Its totient is φ = 2450663424000.

The previous prime is 10251625053113. The next prime is 10251625053169. The reversal of 10251625053150 is 5135052615201.

10251625053150 is a `hidden beast` number, since 1 + 0 + 2 + 51 + 6 + 25 + 0 + 531 + 50 = 666.

It is a super-3 number, since 3×10251625053150³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7204233339 + ... + 7204234761.

It is an arithmetic number, because the mean of its divisors is an integer number (53010708660).

Almost surely, 2^{10251625053150} is an apocalyptic number.

10251625053150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10251625053150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15267084094080).

10251625053150 is an abundant number, since it is smaller than the sum of its proper divisors (20282543135010).

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

10251625053150 is a wasteful number, since it uses less digits than its factorization.

10251625053150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1781 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 10251625053150 its reverse (5135052615201), we get a palindrome (15386677668351).

The spelling of 10251625053150 in words is "ten trillion, two hundred fifty-one billion, six hundred twenty-five million, fifty-three thousand, one hundred fifty".