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125425764025 = 5219323672
BaseRepresentation
bin111010011001111110…
…1010100011010111001
3102222202010200222111121
41310303331110122321
54023332443422100
6133341513225241
712030111255262
oct1646375243271
9388663628447
10125425764025
1149213634a21
1220384a02221
13ba9b308423
1460dbb97969
1533e14ae51a
hex1d33f546b9

125425764025 has 27 divisors (see below), whose sum is σ = 156765116781. Its totient is φ = 99548720640.

The previous prime is 125425763963. The next prime is 125425764029. The reversal of 125425764025 is 520467524521.

The square root of 125425764025 is 354155.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20172236841 + 105253527184 = 142029^2 + 324428^2 .

It is a de Polignac number, because none of the positive numbers 2k-125425764025 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125425764029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 341759392 + ... + 341759758.

Almost surely, 2125425764025 is an apocalyptic number.

125425764025 is the 354155-th square number.

125425764025 is the 177078-th centered octagonal number.

It is an amenable number.

125425764025 is a deficient number, since it is larger than the sum of its proper divisors (31339352756).

125425764025 is an frugal number, since it uses more digits than its factorization.

125425764025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 43.

The spelling of 125425764025 in words is "one hundred twenty-five billion, four hundred twenty-five million, seven hundred sixty-four thousand, twenty-five".

Divisors: 1 5 25 193 367 965 1835 4825 9175 37249 70831 134689 186245 354155 673445 931225 1770775 3367225 13670383 25994977 68351915 129974885 341759575 649874425 5017030561 25085152805 125425764025