10725272071151 has 8 divisors (see below), whose sum is σ = 11751389806800. Its totient is φ = 9707669835840.

The previous prime is 10725272071121. The next prime is 10725272071181. The reversal of 10725272071151 is 15117027252701.

It is an interprime number because it is at equal distance from previous prime (10725272071121) and next prime (10725272071181).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10725272071151 - 2³⁴ = 10708092201967 is a prime.

It is a super-2 number, since 2×10725272071151² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10725272071099 and 10725272071108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10725272071121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2128872446 + ... + 2128877483.

It is an arithmetic number, because the mean of its divisors is an integer number (1468923725850).

Almost surely, 2^{10725272071151} is an apocalyptic number.

10725272071151 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10725272071151 is a deficient number, since it is larger than the sum of its proper divisors (1026117735649).

10725272071151 is a wasteful number, since it uses less digits than its factorization.

10725272071151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257750169.

The product of its (nonzero) digits is 68600, while the sum is 41.

The spelling of 10725272071151 in words is "ten trillion, seven hundred twenty-five billion, two hundred seventy-two million, seventy-one thousand, one hundred fifty-one".