5210950590125 has 128 divisors (see below), whose sum is σ = 7930506854400. Its totient is φ = 3338936640000.

The previous prime is 5210950590119. The next prime is 5210950590127.

5210950590125 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5210950590125 - 2¹² = 5210950586029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5210950590127) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2365387274 + ... + 2365389476.

It is an arithmetic number, because the mean of its divisors is an integer number (61957084800).

Almost surely, 2^{5210950590125} is an apocalyptic number.

It is an amenable number.

5210950590125 is a deficient number, since it is larger than the sum of its proper divisors (2719556264275).

5210950590125 is a wasteful number, since it uses less digits than its factorization.

5210950590125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4124 (or 4114 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 44.

The spelling of 5210950590125 in words is "five trillion, two hundred ten billion, nine hundred fifty million, five hundred ninety thousand, one hundred twenty-five".