10725952502501 has 2 divisors, whose sum is σ = 10725952502502. Its totient is φ = 10725952502500.

The previous prime is 10725952502479. The next prime is 10725952502533. The reversal of 10725952502501 is 10520525952701.

10725952502501 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3275050²+1.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10725952502500 + 1 = 3275050^2 + 1^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10725952502501 is a prime.

It is a super-2 number, since 2×10725952502501² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10725952502581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5362976251250 + 5362976251251.

It is an arithmetic number, because the mean of its divisors is an integer number (5362976251251).

Almost surely, 2^{10725952502501} is an apocalyptic number.

It is an amenable number.

10725952502501 is a deficient number, since it is larger than the sum of its proper divisors (1).

10725952502501 is an equidigital number, since it uses as much as digits as its factorization.

10725952502501 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315000, while the sum is 44.

The spelling of 10725952502501 in words is "ten trillion, seven hundred twenty-five billion, nine hundred fifty-two million, five hundred two thousand, five hundred one".